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1

Nilpotent orbits in good characteristic and the Kempf–Rousseau theory

Alexander Premet

Journal:

Journal of Algebra

Year:

2003

Language:

english

File:

PDF, 318 KB

english, 2003

2

Support Varieties of Non-Restricted Modules over Lie Algebras of Reductive Groups

Journal:

Journal of the London Mathematical Society

Year:

1997

Language:

english

File:

PDF, 347 KB

english, 1997

3

Commutative quotients of finite W-algebras

Alexander Premet

Journal:

Advances in Mathematics

Year:

2010

Language:

english

File:

PDF, 425 KB

english, 2010

4

RIGID ORBITS AND SHEETS IN REDUCTIVE LIE ALGEBRAS OVER FIELDS OF PRIME CHARACTERISTIC

Premet, Alexander, Stewart, David I.

Journal:

Journal of the Institute of Mathematics of Jussieu

Year:

2018

Language:

english

File:

PDF, 562 KB

english, 2018

5

A Generalization of Wilson′s Theorem on Cartan Subalgebras of Simple Lie Algebras

Journal:

Journal of Algebra

Year:

1994

File:

PDF, 2.18 MB

1994

6

Zassenhaus varieties of general linear Lie algebras

Alexander Premet, Rudolf Tange

Journal:

Journal of Algebra

Year:

2005

Language:

english

File:

PDF, 203 KB

english, 2005

7

Irreducible representations of Lie algebras of reductive groups and the Kac-Weisfeiler conjecture

Alexander Premet

Journal:

Inventiones mathematicae

Year:

1995

Language:

english

File:

PDF, 1.82 MB

english, 1995

8

A modular analogue of Morozov's theorem on maximal subalgebras of simple Lie algebras

Premet, Alexander

Journal:

Advances in Mathematics

Year:

2017

Language:

english

File:

PDF, 1009 KB

english, 2017

9

Simple Lie algebras of small characteristic IV.: Solvable and classical roots

Alexander Premet, Helmut Strade

Journal:

Journal of Algebra

Year:

2004

Language:

english

File:

PDF, 747 KB

english, 2004

10

The weyl modules and the irreducible representations of the symplectic group with the fundamental highest weights

Premet, A.A., Suprunenko, I.D.

Journal:

Communications in Algebra

Year:

1983

Language:

english

File:

PDF, 1.21 MB

english, 1983

11

Simple Lie Algebras of Small Characteristic: III. The Toral Rank 2 Case

Alexander Premet, Helmut Strade

Journal:

Journal of Algebra

Year:

2001

Language:

english

File:

PDF, 854 KB

english, 2001

12

Corrigenda on second degree cohomology of symmetric and alternating groups

Kleshchev, Alexander S., Premet, Alexander A.

Journal:

Communications in Algebra

Year:

1993

Language:

english

File:

PDF, 35 KB

english, 1993

13

10.1090/S0002-9947-01-02826-4

Gordon, Iain, Premet, Alexander

Journal:

Transactions of the American Mathematical Society

Year:

2002

Language:

english

File:

PDF, 522 KB

english, 2002

14

On symmetric invariants of centralisers in reductive Lie algebras

D. Panyushev, A. Premet, O. Yakimova

Journal:

Journal of Algebra

Year:

2007

Language:

english

File:

PDF, 547 KB

english, 2007

15

The congruence kernel of an arithmetic lattice in a rank one algebraic group over a local field

Mason, A. W., Premet, A., Sury, B., Zalesskii, P. A.

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2008

Language:

english

File:

PDF, 266 KB

english, 2008

16

Simple Lie Algebras of Small Characteristic: I. Sandwich Elements

Alexander Premet, Helmut Strade

Journal:

Journal of Algebra

Year:

1997

Language:

english

File:

PDF, 725 KB

english, 1997

17

Special Transverse Slices and Their Enveloping Algebras

Alexander Premet

Journal:

Advances in Mathematics

Year:

2002

Language:

english

File:

PDF, 536 KB

english, 2002

18

The Hesselink stratification of nullcones and base change

Matthew C. Clarke, Alexander Premet

Journal:

Inventiones mathematicae

Year:

2013

Language:

english

File:

PDF, 1.18 MB

english, 2013

19

An Analogue of the Jacobson-Morozov Theorem for Lie Algebras of Reductive Groups of Good Characteristics

Alexander Premet

Journal:

Transactions of the American Mathematical Society

Year:

1995

Language:

english

File:

PDF, 2.69 MB

english, 1995

20

On second degree cohomology of symmetric and alternating groups

Kleshchev, Alexander S., Premet, Alexander A.

Journal:

Communications in Algebra

Year:

1993

Language:

english

File:

PDF, 626 KB

english, 1993

21

Enveloping algebras of Slodowy slices and Goldie rank

Alexander Premet

Journal:

Transformation Groups

Year:

2011

Language:

english

File:

PDF, 681 KB

english, 2011

22

Representations of restricted Lie algebras and families of associative ℒ-algebras

Premet, Alexander, Skryabin, Serge

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

1999

Language:

english

File:

PDF, 2.67 MB

english, 1999

23

Block Representation Type of Reduced Enveloping Algebras

Iain Gordon and Alexander Premet

Journal:

Transactions of the American Mathematical Society

Year:

2002

Language:

english

File:

PDF, 3.26 MB

english, 2002

24

Modular Lie algebras and the Gelfand–Kirillov conjecture

Alexander Premet

Journal:

Inventiones mathematicae

Year:

2010

Language:

english

File:

PDF, 615 KB

english, 2010

25

Derived subalgebras of centralisers and finite -algebras

Premet, Alexander, Topley, Lewis

Journal:

Compositio Mathematica

Year:

2014

Language:

english

File:

PDF, 1.21 MB

english, 2014

26

LIE ALGEBRAS WITHOUT STRONG DEGENERATION

Journal:

Mathematics of the USSR-Sbornik

Year:

1987

File:

PDF, 1.03 MB

1987

27

Nilpotent commuting varieties of reductive Lie algebras

Alexander Premet

Journal:

Inventiones mathematicae

Year:

2003

Language:

english

File:

PDF, 475 KB

english, 2003

28

Simple Lie algebras of small characteristic VI. Completion of the classification

Alexander Premet, Helmut Strade

Journal:

Journal of Algebra

Year:

2008

Language:

english

File:

PDF, 684 KB

english, 2008

29

Simple Lie algebras of small characteristic V. The non-Melikian case

Alexander Premet, Helmut Strade

Journal:

Journal of Algebra

Year:

2007

Language:

english

File:

PDF, 332 KB

english, 2007

30

Simple Lie Algebras of Small Characteristic II. Exceptional Roots

Alexander Premet, Helmut Strade

Journal:

Journal of Algebra

Year:

1999

Language:

english

File:

PDF, 781 KB

english, 1999

31

MULTIPLICITY-FREE PRIMITIVE IDEALS ASSOCIATED WITH RIGID NILPOTENT ORBITS

PREMET, ALEXANDER

Journal:

Transformation Groups

Year:

2014

Language:

english

File:

PDF, 981 KB

english, 2014

32

REGULAR CARTAN SUBALGEBRAS AND NILPOTENT ELEMENTS IN RESTRICTED LIE ALGEBRAS

Year:

1990

Language:

english

File:

PDF, 843 KB

english, 1990

33

Enveloping algebras of Slodowy slices and the Joseph ideal

Premet, Alexander

Journal:

Journal of the European Mathematical Society

Year:

2007

Language:

english

File:

PDF, 432 KB

english, 2007

34

ALGEBRAIC GROUPS ASSOCIATED WITH CARTAN LIE $ p$-ALGEBRAS

Journal:

Mathematics of the USSR-Sbornik

Year:

1985

Language:

english

File:

PDF, 811 KB

english, 1985

35

The Globally Irreducible Representations of Symmetric Groups

Alexander Kleshchev and Alexander Premet

Journal:

Proceedings of the American Mathematical Society

Year:

2000

Language:

english

File:

PDF, 273 KB

english, 2000

36

Quadratic modules for CHEVALLEY groups over fields of odd characteristics

A. A. Premet, I. D. Suprunenko

Journal:

Mathematische Nachrichten

Year:

1983

Language:

english

File:

PDF, 1.86 MB

english, 1983

37

Complexity of Lie algebra representations and nilpotent elements of the stabilizers of linear forms

Alexander Premet

Journal:

Mathematische Zeitschrift

Year:

1998

Language:

english

File:

PDF, 418 KB

english, 1998

38

Quantizing Mishchenko–Fomenko subalgebras for centralizers via affine $W$-algebras

Arakawa, T., Premet, A.

Journal:

Transactions of the Moscow Mathematical Society

Year:

2017

Language:

english

File:

PDF, 315 KB

english, 2017

39

ON CARTAN SUBALGEBRAS OF LIE $ p$-ALGEBRAS

Year:

1987

Language:

english

File:

PDF, 693 KB

english, 1987

40

WEIGHTS OF INFINITESIMALLY IRREDUCIBLE REPRESENTATIONS OF CHEVALLEY GROUPS OVER A FIELD OF PRIME CHARACTERISTIC

Journal:

Mathematics of the USSR-Sbornik

Year:

1988

Language:

english

File:

PDF, 168 KB

english, 1988

41

THE THEOREM ON RESTRICTION OF INVARIANTS, AND NILPOTENT ELEMENTS IN $ W_n$

Journal:

Mathematics of the USSR-Sbornik

Year:

1992

File:

PDF, 416 KB

1992

42

VARIETIES OF RESIDUALLY FINITE LIE ALGEBRAS

Premet, A A, Semenov, K N

Journal:

Mathematics of the USSR-Sbornik

Year:

1990

Language:

english

File:

PDF, 707 KB

english, 1990

43

Investigation of axial forces in multistage high-pressure centrifugal circulating compressors

V. B. Shnepp, I. M. Korshin, É. I. Premet

Journal:

Chemical and Petroleum Engineering

Year:

1969

Language:

english

File:

PDF, 479 KB

english, 1969

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