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1

[Mathematics and Its Applications] Representation of Lie Groups and Special Functions Volume 74 ||

Vilenkin, N. Ja., Klimyk, A. U.

Year:

1993

Language:

english

File:

PDF, 36.82 MB

english, 1993

2

Quantum Groups and Their Representations || The Quantum Algebra Uq(sl2)and Its Representations

Klimyk, Anatoli, Schmüdgen, Konrad

Year:

1997

Language:

english

File:

PDF, 3.93 MB

english, 1997

3

NonstandardUq(so3) andUq(so4): tensor products of representations, oscillator realizations and roots of unity

M. Havlíček, E. Pelantová, A. Klimyk

Journal:

Czechoslovak Journal of Physics

Year:

1997

Language:

english

File:

PDF, 199 KB

english, 1997

4

Representation matrix elements and Clebsch–Gordan coefficients of the semisimple Lie groups

Klimyk, A. U., Gavrilik, A. M.

Journal:

Journal of Mathematical Physics

Year:

1979

Language:

english

File:

PDF, 1.54 MB

english, 1979

5

P,Q-differentiation, P,Q-integration, and P,Q-hypergeometric functions related to quantum groups

Burban, Ivan M., Klimyk, Anatoli U.

Journal:

Integral Transforms and Special Functions

Year:

1994

Language:

english

File:

PDF, 570 KB

english, 1994

6

Representations of the cyclically symmetricq-deformed algebraUq(so3)

M. Havlíček, S. Pošta, A. U. Klimyk

Journal:

Czechoslovak Journal of Physics

Year:

1998

Language:

english

File:

PDF, 313 KB

english, 1998

7

Classification of representations of the algebraUq′(so3) through examples

M. Havlíček, A. U. Klimyk, S. Pošta

Journal:

Czechoslovak Journal of Physics

Year:

2000

Language:

english

File:

PDF, 154 KB

english, 2000

8

q-Deformed Euclidean algebras and their representations

V. A. Groza, I. I. Kachurik, A. U. Klimyk

Journal:

Theoretical and Mathematical Physics

Year:

1995

Language:

english

File:

PDF, 527 KB

english, 1995

9

On Clebsch–Gordan coefficients and matrix elements of representations of the quantum algebra Uq(su2)

Groza, V. A., Kachurik, I. I., Klimyk, A. U.

Journal:

Journal of Mathematical Physics

Year:

1990

Language:

english

File:

PDF, 830 KB

english, 1990

10

The factorization of a q-difference equation for continuous q-Hermite polynomials

M. N. Atakishiyev, A. U. Klimyk

Year:

2007

Language:

english

File:

PDF, 121 KB

english, 2007

11

Representations of the q-deformed algebras Uq(so2,1) and Uq(so3,1)

Gavrilik, A. M., Klimyk, A. U.

Journal:

Journal of Mathematical Physics

Year:

1994

Language:

english

File:

PDF, 1.47 MB

english, 1994

12

On spectral properties ofq-oscillator operators

I. M. Burban, A. U. Klimyk

Journal:

Letters in Mathematical Physics

Year:

1993

Language:

english

File:

PDF, 232 KB

english, 1993

13

Matrix elements for indecomposable representations of complex su(2)

Gruber, Bruno, Klimyk, A. U.

Journal:

Journal of Mathematical Physics

Year:

1984

Language:

english

File:

PDF, 846 KB

english, 1984

14

Representations of the Quantum Algebra Uq(un, 1)

V. A. Groza, N. Z. Iorgov, A. U. Klimyk

Journal:

Algebras and Representation Theory

Year:

2000

Language:

english

File:

PDF, 197 KB

english, 2000

15

Upper bounds for multiplicities in a tensor product of representations and in a restriction of group representations to a subgroup

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1985

Language:

english

File:

PDF, 560 KB

english, 1985

16

On discrete q-ultraspherical polynomials and their duals

N.M. Atakishiyev, A.U. Klimyk

Journal:

Journal of Mathematical Analysis and Applications

Year:

2005

Language:

english

File:

PDF, 111 KB

english, 2005

17

Representation for matrix elements of compact Lie groups

Journal:

Letters in Mathematical Physics

Year:

1980

Language:

english

File:

PDF, 258 KB

english, 1980

18

Onq-Laplace operator andq-harmonic polynomials

N. Z. Iorgov, A. U. Klimyk

Journal:

Physics of Atomic Nuclei

Year:

2001

Language:

english

File:

PDF, 167 KB

english, 2001

19

Infinitesimal operators for representations of complex Lie groups and Clebsch-Gordan coefficients for compact groups

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1982

Language:

english

File:

PDF, 851 KB

english, 1982

20

Classical and quantum Heisenberg groups, their representations and applications

A. U. Klimyk, W. Schempp

Journal:

Acta Applicandae Mathematicae

Year:

1996

Language:

english

File:

PDF, 2.13 MB

english, 1996

21

Infinitesimal operators of group representations in noncanonical bases

Klimyk, A. U., Kachurik, I. I.

Journal:

Journal of Mathematical Physics

Year:

1988

Language:

english

File:

PDF, 640 KB

english, 1988

22

Infinitesimal operators and structure of the representations of the groups SO∗(2n) and SO(2n) in a U(n) basis and of the groups SU∗(2n) and SU(2n) in an Sp(n) basis

Klimyk, A. U., Gavrilik, A. M.

Journal:

Journal of Mathematical Physics

Year:

1984

Language:

english

File:

PDF, 898 KB

english, 1984

23

[Research Reports in Physics] Problems of Modern Quantum Field Theory || Virasoro Action on Riemann Surfaces, Grassmannians, det $$ {\overline \partial _J} $$ and Segal-Wilson τ-Function

Belavin, Aleksandr A., Klimyk, Anatolii U., Zamolodchikov, Aleksandr B.

Year:

1989

Language:

english

File:

PDF, 1.67 MB

english, 1989

24

Classification of representations of the algebraU′q(so3) through examples II

M. Havlíček, S. Pošta, A. U. Klimyk

Journal:

Physics of Atomic Nuclei

Year:

2001

Language:

english

File:

PDF, 144 KB

english, 2001

25

Al-Salam–Chihara models of quantum oscillator

N.M. Atakishiyev, A.U. Klimyk

Journal:

Physics Letters A

Year:

2008

Language:

english

File:

PDF, 169 KB

english, 2008

26

Operator spectra inq-oscillator algebras

Journal:

Czechoslovak Journal of Physics

Year:

1996

Language:

english

File:

PDF, 283 KB

english, 1996

27

Diagonalization of operators and one-parameter families of nonstandard bases for representations of suq(2)

Atakishiyev, N M, Klimyk, A U

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2002

Language:

english

File:

PDF, 162 KB

english, 2002

28

[Research Reports in Physics] Problems of Modern Quantum Field Theory ||

Belavin, Aleksandr A., Klimyk, Anatolii U., Zamolodchikov, Aleksandr B.

Year:

1989

Language:

english

File:

PDF, 12.06 MB

english, 1989

29

A MODEL OF QUANTUM OSCILLATOR WITH DISCRETE SPACE

KACHURYK, I. I., KLIMYK, A. U.

Journal:

Modern Physics Letters A

Year:

2008

Language:

english

File:

PDF, 159 KB

english, 2008

30

On the tensor product of representations of semisimple Lie groups

Journal:

Mathematical Notes

Year:

1974

Language:

english

File:

PDF, 399 KB

english, 1974

31

Representations of a Gell-Mann-Dashen algebra

Journal:

Theoretical and Mathematical Physics

Year:

1970

Language:

english

File:

PDF, 678 KB

english, 1970

32

Spectral expansions of some representations of Lie groups

N. Ya. Vilenkin, A. U. Klimyk

Journal:

Ukrainian Mathematical Journal

Year:

1990

Language:

english

File:

PDF, 298 KB

english, 1990

33

Matrix elements for the representations of SO(n) and SO0(n, 1)

Kachurik, I.I., Klimyk, A.U.

Journal:

Reports on Mathematical Physics

Year:

1984

Language:

english

File:

PDF, 793 KB

english, 1984

34

Naum Yakovlevich Vilenkin (on his seventieth birthday)

Karpelevich, F I, Klimyk, A U, Koganov, L M, Ol'shanetskii, M A, Rogov, V-B K, Rubinshtein, A I, Smorodinskii, Ya A

Journal:

Russian Mathematical Surveys

Year:

1991

File:

PDF, 563 KB

1991

35

Alternating multivariate trigonometric functions and corresponding Fourier transforms

A. U. Klimyk, J. Patera

Year:

2008

Language:

english

File:

PDF, 207 KB

english, 2008

36

Decomposition of highest-weight representations of a semisimple Lie algebra into representations of regular subalgebras

Journal:

Mathematical Notes

Year:

1970

Language:

english

File:

PDF, 282 KB

english, 1970

37

The Fourier transform of functions on a group

Journal:

Ukrainian Mathematical Journal

Year:

1975

Language:

english

File:

PDF, 697 KB

english, 1975

38

On position and momentum operators in the q -oscillator

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2005

Language:

english

File:

PDF, 139 KB

english, 2005

39

Representations of the quantum algebra U q,s (su 1,1 )

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1993

Language:

english

File:

PDF, 359 KB

english, 1993

40

The Wigner-Eckart theorem and covariant operators

Journal:

Theoretical and Mathematical Physics

Year:

1972

Language:

english

File:

PDF, 840 KB

english, 1972

41

Representations of the cyclically symmetric q-deformed algebra so[sub q](3)

Havlı́ček, M., Klimyk, A. U., Pošta, S.

Journal:

Journal of Mathematical Physics

Year:

1999

Language:

english

File:

PDF, 696 KB

english, 1999

42

On the tensor product of representations of semisimple Lie groups

Journal:

Letters in Mathematical Physics

Year:

1977

Language:

english

File:

PDF, 140 KB

english, 1977

43

On su[sub q](1,1)-models of quantum oscillator

Atakishiyev, M. N., Atakishiyev, N. M., Klimyk, A. U.

Journal:

Journal of Mathematical Physics

Year:

2006

Language:

english

File:

PDF, 501 KB

english, 2006

44

Matrix elements for infinitesimal operators of the groups U(p+q) and U(p,q) in a U(p) ×U(q) basis. II

Journal:

Journal of Mathematical Physics

Year:

1979

Language:

english

File:

PDF, 357 KB

english, 1979

45

Harmonics on the quantum Euclidean space

N. Iorgov, A. Klimyk

Year:

2003

Language:

english

File:

PDF, 201 KB

english, 2003

46

The embedding U ' q ( so 3 )⊂ U q ( sl 3 )

Kachurik, I I, Klimyk, A U

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2001

Language:

english

File:

PDF, 207 KB

english, 2001

47

Nonstandardq-deformation of the Euclidean Lie algebra and its representations

Journal:

Czechoslovak Journal of Physics

Year:

1998

Language:

english

File:

PDF, 290 KB

english, 1998

48

On eigenfunctions of continuous and discrete (anti)symmetric multivariate Fourier transforms

Atakishiyev, N. M., Klimyk, A. U.

Journal:

Journal of Mathematical Physics

Year:

2008

Language:

english

File:

PDF, 485 KB

english, 2008

49

Wigner-Eckart theorem for the quantum group U q (n)

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1992

Language:

english

File:

PDF, 342 KB

english, 1992

50

The q-Laplace operator and q-harmonic polynomials on the quantum vector space

Iorgov, N. Z., Klimyk, A. U.

Journal:

Journal of Mathematical Physics

Year:

2001

Language:

english

File:

PDF, 373 KB

english, 2001

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