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1

A Quantum Octonion Algebra

Georgia Benkart and José M. Pérez-Izquierdo

Journal:

Transactions of the American Mathematical Society

Year:

2000

Language:

english

File:

PDF, 3.55 MB

english, 2000

2

Problems and Solutions

David Doster, Murray S. Klamkin, Kenichiro Kashihara, Juan-Bosco Romero Marquez, Georgia M. Benkart, Mark D. Meyerson, William P. Wardlaw, Frank Schmidt, Robin Chapman, George Baloglou, Robert Underwo

Journal:

College Mathematics Journal

Year:

1997

Language:

english

File:

PDF, 572 KB

english, 1997

3

Lie algebras graded by finite root systems and intersection matrix algebras

Georgia Benkart, Efim Zelmanov

Journal:

Inventiones mathematicae

Year:

1996

Language:

english

File:

PDF, 604 KB

english, 1996

4

Quantized Enveloping Algebras for Borcherds Superalgebras

Georgia Benkart, Seok-Jin Kang and Duncan Melville

Journal:

Transactions of the American Mathematical Society

Year:

1998

Language:

english

File:

PDF, 2.48 MB

english, 1998

5

Poincaré series for tensor invariants and the McKay correspondence

Benkart, Georgia

Journal:

Advances in Mathematics

Year:

2016

Language:

english

File:

PDF, 2.09 MB

english, 2016

6

Flexible Lie-admissible algebras

Georgia M Benkart, J.Marshall Osborn

Journal:

Journal of Algebra

Year:

1981

Language:

english

File:

PDF, 1.06 MB

english, 1981

7

Crystal Bases for the Quantum Superalgebra Uq(gl(m,n))

Georgia Benkart, Seok-Jin Kang and Masaki Kashiwara

Journal:

Journal of the American Mathematical Society

Year:

2000

Language:

english

File:

PDF, 738 KB

english, 2000

8

Rank One Lie Algebras

Georgia M. Benkart and J. Marshall Osborn

Journal:

Annals of Mathematics

Year:

1984

Language:

english

File:

PDF, 1.90 MB

english, 1984

9

The Derivation Algebra of a Real Division Algebra

Georgia M. Benkart and J. Marshall Osborn

Journal:

American Journal of Mathematics

Year:

1981

Language:

english

File:

PDF, 1.17 MB

english, 1981

10

On Inner Ideals and Ad-Nilpotent Elements of Lie Algebras

Georgia Benkart

Journal:

Transactions of the American Mathematical Society

Year:

1977

Language:

english

File:

PDF, 1.96 MB

english, 1977

11

Simple Lie Algebras of Characteristic p with Dependent Roots

Georgia Benkart and J. Marshall Osborn

Journal:

Transactions of the American Mathematical Society

Year:

1990

Language:

english

File:

PDF, 2.08 MB

english, 1990

12

Abstract Algebra.by I. N. Herstein

Review by: Georgia Benkart

Journal:

American Mathematical Monthly

Year:

1987

Language:

english

File:

PDF, 374 KB

english, 1987

13

Abstract Algebra , By I. N. Herstein

Benkart, Georgia

Journal:

American Mathematical Monthly

Year:

1987

Language:

english

File:

PDF, 453 KB

english, 1987

14

Down–Up Algebras

Georgia Benkart, Tom Roby

Journal:

Journal of Algebra

Year:

1998

Language:

english

File:

PDF, 403 KB

english, 1998

15

Derivations and automorphisms of matrices symmetric relative to a canonical involution

Georgia Benkart

Journal:

Journal of Algebra

Year:

1980

Language:

english

File:

PDF, 593 KB

english, 1980

16

Power-associative Lie-admissible algebras

Georgia M Benkart

Journal:

Journal of Algebra

Year:

1984

Language:

english

File:

PDF, 1.14 MB

english, 1984

17

Toral rank one Lie algebras

Georgia Benkart, J.Marshall Osborn

Journal:

Journal of Algebra

Year:

1988

Language:

english

File:

PDF, 699 KB

english, 1988

18

Irreducible modules for the quantum affine algebra and its Borel subalgebra

Georgia Benkart, Paul Terwilliger

Journal:

Journal of Algebra

Year:

2004

Language:

english

File:

PDF, 217 KB

english, 2004

19

Yetter–Drinfeld modules under cocycle twists

Georgia Benkart, Mariana Pereira, Sarah Witherspoon

Journal:

Journal of Algebra

Year:

2010

Language:

english

File:

PDF, 256 KB

english, 2010

20

Graded Lie algebras with classical reductive null component

Georgia Benkart, Thomas Gregory

Journal:

Mathematische Annalen

Year:

1989

Language:

english

File:

PDF, 881 KB

english, 1989

21

Modules with bounded weight multiplicities for simple Lie algebras

Georgia Benkart, Daniel Britten, Frank Lemire

Journal:

Mathematische Zeitschrift

Year:

1997

Language:

english

File:

PDF, 267 KB

english, 1997

22

Lie superalgebras graded by the root system B(m,n)

Georgia Benkart, Alberto Elduque

Journal:

Selecta Mathematica

Year:

2003

Language:

english

File:

PDF, 522 KB

english, 2003

23

Central extensions of Lie algebras graded by finite root systems

Bruce Allison, Georgia Benkart, Yun Gao

Journal:

Mathematische Annalen

Year:

2000

Language:

english

File:

PDF, 198 KB

english, 2000

24

The Lie inner ideal structure of associative rings

Georgia Benkart

Journal:

Journal of Algebra

Year:

1976

Language:

english

File:

PDF, 1.28 MB

english, 1976

25

The Polynomial Behavior of Weight Multiplicities for the Affine Kac–Moody Algebras A(1)r

Georgia Benkart, Seok-Jin Kang, Hyeonmi Lee, Kailash C. Misra, Dong-Uy Shin

Journal:

Compositio Mathematica

Year:

2001

Language:

english

File:

PDF, 184 KB

english, 2001

26

New irreducible modules for Heisenberg and affine Lie algebras

Viktor Bekkert, Georgia Benkart, Vyacheslav Futorny, Iryna Kashuba

Journal:

Journal of Algebra

Year:

2013

Language:

english

File:

PDF, 275 KB

english, 2013

27

Representations of Rank 3 Algebras

Benkart, Georgia, Labra, Alicia

Journal:

Communications in Algebra

Year:

2006

Language:

english

File:

PDF, 140 KB

english, 2006

28

The Lie Inner Ideal Structure of Associative Rings Revisited

Benkart, Georgia, Fernández López, Antonio

Journal:

Communications in Algebra

Year:

2009

Language:

english

File:

PDF, 194 KB

english, 2009

29

A (n, n)-graded Lie superalgebras

Benkart, Georgia, Elduque, Alberto, Martínez, Consuelo

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2004

Language:

english

File:

PDF, 210 KB

english, 2004

30

The simple graded lie algebras of characteristic three with classical reductive component L 0

Benkart, Georgia, kostrikin, Alexei I., Kuznetsov, Michael I.

Journal:

Communications in Algebra

Year:

1996

Language:

english

File:

PDF, 423 KB

english, 1996

31

Derivations of a parametric family of subalgebras of the Weyl algebra

Benkart, Georgia, Lopes, Samuel A., Ondrus, Matthew

Journal:

Journal of Algebra

Year:

2015

Language:

english

File:

PDF, 846 KB

english, 2015

32

On inner ideals and ad-nilpotent elements of Lie algebras

Benkart, Georgia

Journal:

Transactions of the American Mathematical Society

Year:

1977

Language:

english

File:

PDF, 1.88 MB

english, 1977

33

Simple modular lie algebras with 1-sections that are classical or solvable

Benkart, Georgia

Journal:

Communications in Algebra

Year:

1990

Language:

english

File:

PDF, 251 KB

english, 1990

34

10.1090/S0894-0347-00-00321-0

Benkart, Georgia, Kang, Seok-Jin, Kashiwara, Masaki

Journal:

Journal of the American Mathematical Society

Year:

2000

Language:

english

File:

PDF, 965 KB

english, 2000

35

A parametric family of subalgebras of the Weyl algebra I. Structure and automorphisms

Benkart, Georgia, Lopes, Samuel A., Ondrus, Matthew

Journal:

Transactions of the American Mathematical Society

Year:

2014

Language:

english

File:

PDF, 421 KB

english, 2014

36

CLASSICAL LIE SUPERALGEBRAS OVER SIMPLE ASSOCIATIVE ALGEBRAS

BENKART, GEORGIA, XU, XIAOPING, ZHAO, KAIMING

Journal:

Proceedings of the London Mathematical Society

Year:

2006

Language:

english

File:

PDF, 235 KB

english, 2006

37

Hopf algebras with triality

Benkart, Georgia, Madariaga, Sara, Pérez-Izquierdo, José M.

Journal:

Transactions of the American Mathematical Society

Year:

2012

Language:

english

File:

PDF, 303 KB

english, 2012

38

Contributions to the Classification of Simple Modular Lie Algebras

Georgia Benkart, J. Marshall Osborn and Helmut Strade

Journal:

Transactions of the American Mathematical Society

Year:

1994

Language:

english

File:

PDF, 2.83 MB

english, 1994

39

A New Construction of the Kac Jordan Superalgebra

Georgia Benkart and Alberto Elduque

Journal:

Proceedings of the American Mathematical Society

Year:

2002

Language:

english

File:

PDF, 682 KB

english, 2002

40

McKay centralizer algebras

Barnes, Jeffrey M., Benkart, Georgia, Halverson, Tom

Journal:

Proceedings of the London Mathematical Society

Year:

2016

Language:

english

File:

PDF, 1.51 MB

english, 2016

41

Quantum walled Brauer–Clifford superalgebras

Benkart, Georgia, Guay, Nicolas, Jung, Ji Hye, Kang, Seok-Jin, Wilcox, Stewart

Journal:

Journal of Algebra

Year:

2016

Language:

english

File:

PDF, 678 KB

english, 2016

42

Walks on graphs and their connections with tensor invariants and centralizer algebras

Benkart, Georgia, Moon, Dongho

Journal:

Journal of Algebra

Year:

2018

Language:

english

File:

PDF, 1.02 MB

english, 2018

43

Whittaker modules for generalized Weyl algebras

Benkart, Georgia, Ondrus, Matthew

Journal:

Representation Theory of the American Mathematical Society

Year:

2009

Language:

english

File:

PDF, 361 KB

english, 2009

44

Tableau Switching: Algorithms and Applications

Georgia Benkart, Frank Sottile, Jeffrey Stroomer

Journal:

Journal of Combinatorial Theory, Series A

Year:

1996

Language:

english

File:

PDF, 878 KB

english, 1996

45

The centroid of extended affine and root graded Lie algebras

Georgia Benkart, Erhard Neher

Journal:

Journal of Pure and Applied Algebra

Year:

2006

Language:

english

File:

PDF, 312 KB

english, 2006

46

Quantum group actions, twisting elements, and deformations of algebras

Georgia Benkart, Sarah Witherspoon

Journal:

Journal of Pure and Applied Algebra

Year:

2007

Language:

english

File:

PDF, 390 KB

english, 2007

47

Tensor product representations for orthosymplectic Lie superalgebras

Georgia Benkart, Chanyoung Lee Shader, Arun Ram

Journal:

Journal of Pure and Applied Algebra

Year:

1998

Language:

english

File:

PDF, 2.72 MB

english, 1998

48

The equitable basis for({mathfrak{sl}_2})

Georgia Benkart, Paul Terwilliger

Journal:

Mathematische Zeitschrift

Year:

2011

Language:

english

File:

PDF, 452 KB

english, 2011

49

A Hopf structure for down-up algebras

Georgia Benkart, Sarah Witherspoon

Journal:

Mathematische Zeitschrift

Year:

2001

Language:

english

File:

PDF, 290 KB

english, 2001

50

Tableaux and insertion schemes for spinor representations of the orthogonal Lie algebraso(2r + 1, ℂ)

Georgia Benkart, Jeffrey Stroomer

Journal:

Journal of Combinatorial Theory, Series A

Year:

1991

Language:

english

File:

PDF, 1.36 MB

english, 1991

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