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Noncommutative hypergeometry

Alexandre Yu. Volkov
(
- Vrije U., Brussels
)

Sep, 2005

14 pages

Published in:

Commun.Math.Phys. 258 (2005) 257-273

e-Print:

math/0312084 [math.QA]

DOI:

10.1007/s00220-005-1342-5

View in:

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Abstract: (arXiv)

A certain special function of the generalized hypergeometric variety is shown to fulfill a host of useful noncommutative identities.

Note:

14 pages, LaTeX (amsart)

References(7)

Figures(0)

R operator, coproduct and Haar measure for the modular double of U(q)(sl(2,R))

A.G. Bytsko
(
- Freie U., Berlin
)
,
J. Teschner
(
- Freie U., Berlin
)

- Commun.Math.Phys. 240 (2003) 171-196
•
e-Print:
- math/0208191
•
DOI:
- 10.1007/s00220-003-0894-5

Strongly coupled quantum discrete Liouville theory. 1. Algebraic approach and duality

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•
e-Print:
- hep-th/0006156
•
DOI:
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Selfdual solutions of the star triangle relations in Z(N) models

V.A. Fateev
(
- Landau Inst.
)
,
A.B. Zamolodchikov
(
- Landau Inst.
)

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•
DOI:
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On the spectrum of Dehn twists in quantum Teichmuller theory

R.M. Kashaev
(
- Steklov Math. Inst., St. Petersburg
)

e-Print:
- math/0008148
•
DOI:
- 10.1142/9789812810007_0004

Unitary representations of U(q) (sl(2, R)), the modular double, and the multiparticle q deformed Toda chains

S. Kharchev
(
- Moscow, ITEP
)
,
D. Lebedev
(
- Moscow, ITEP
)
,
M. Semenov-Tian-Shansky
(
- Bourgogne U. and
- Steklov Math. Inst., St. Petersburg
)

- Commun.Math.Phys. 225 (2002) 573-609
•
e-Print:
- hep-th/0102180
•
DOI:
- 10.1007/s002200100592

Clebsch-Gordan and Racah-Wigner coefficients for a continuous series of representations of U(q)(sl(2,R))

B. Ponsot
(
- Montpellier U.
)
,
J. Teschner
(
- Freie U., Berlin
)

- Commun.Math.Phys. 224 (2001) 613-655
•
e-Print:
- math/0007097
•
DOI:
- 10.1007/PL00005590

Beyond the 'pentagon identity'

A.Yu. Volkov
(
- Montpellier U.
)

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•
e-Print:
- q-alg/9603003
•
DOI:
- 10.1023/A:1007341702306