S. Z. Levendorskii, Ya. S. Soibel'man, “Quantum Weyl group and multiplicative formula for the $R$-matrix of a simple Lie algebra”, Funktsional. Anal. i Prilozhen., 25:2 (1991), 73–76; Funct. Anal. Appl., 25:2 (1991), 143

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Funktsional'nyi Analiz i ego Prilozheniya, 1991, Volume 25, Issue 2, Pages 73–76 (Mi faa867)

This article is cited in 22 scientific papers (total in 22 papers)

Brief communications

Quantum Weyl group and multiplicative formula for the

R

$R$ -matrix of a simple Lie algebra

S. Z. Levendorskii, Ya. S. Soibel'man

Rostov State University

Full-text PDF (474 kB) Citations (22)

References:

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Received: 08.02.1990

English version:
Functional Analysis and Its Applications, 1991, Volume 25, Issue 2, Pages 143–145
DOI: https://doi.org/10.1007/BF01079599

Bibliographic databases:

Document Type: Article

UDC: 512.554.3+512.667.7

Language: Russian

Citation: S. Z. Levendorskii, Ya. S. Soibel'man, “Quantum Weyl group and multiplicative formula for the

R

$R$ -matrix of a simple Lie algebra”, Funktsional. Anal. i Prilozhen., 25:2 (1991), 73–76; Funct. Anal. Appl., 25:2 (1991), 143–145

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/faa867

https://www.mathnet.ru/eng/faa/v25/i2/p73

This publication is cited in the following 22 articles:

A. V. Razumov, “Khoroshkin–Tolstoy approach to quantum superalgebras”, Theoret. and Math. Phys., 215:1 (2023), 560–585
Andrea Appel, Sachin Gautam, Curtis Wendlandt, “On a Conjecture of Khoroshkin and Tolstoy”, International Mathematics Research Notices, 2023:24 (2023), 21690
Petr P. Pushkar, Andrey V. Smirnov, Anton M. Zeitlin, “Baxter Q-operator from quantum K-theory”, Advances in Mathematics, 360 (2020), 106919
K. De Commer, M. Matassa, “Quantum flag manifolds, quantum symmetric spaces and their associated universal K-matrices”, Advances in Mathematics, 366 (2020), 107029
Gus Schrader, Alexander Shapiro, “A cluster realization of
$U_q(\mathfrak {sl}_{\mathfrak {n}})$
U q
(
sl n
)
from quantum character varieties”, Invent. math., 216:3 (2019), 799
Hideya Watanabe, “Crystal Basis Theory for a Quantum Symmetric Pair $(\mathbf{U},\mathbf{U}^{\jmath })$ ”, International Mathematics Research Notices, 2018
Andrey Mudrov, “R-matrix and inverse Shapovalov form”, Journal of Mathematical Physics, 57:5 (2016)
Iván Angiono, Hiroyuki Yamane, “The R-matrix of quantum doubles of Nichols algebras of diagonal type”, Journal of Mathematical Physics, 56:2 (2015)
Toshiyuki TANISAKI, “Manin Triples and Differential Operators on Quantum Groups”, Tokyo J. Math., 36:1 (2013)
Alexei Davydov, Ingo Runkel, “Z/2Z-extensions of Hopf algebra module categories by their base categories”, Advances in Mathematics, 247 (2013), 192
Peter Tingley, “A formula for the 𝑅-matrix using a system of weight preserving endomorphisms”, Represent. Theory, 14:13 (2010), 435
Sabin Cautis, Joel Kamnitzer, Anthony Licata, “Categorical geometric skew Howe duality”, Invent. math., 180:1 (2010), 111
Noah Snyder, Peter Tingley, “The half-twist forUq(g) representations”, ANT, 3:7 (2009), 809
Joel Kamnitzer, Peter Tingley, “The crystal commutor and Drinfeld's unitarized R-matrix”, J Algebr Comb, 29:3 (2009), 315
E. Buffenoir, Ph. Roche, V. Terras, “Quantum Dynamical coBoundary Equation for finite dimensional simple Lie algebras”, Advances in Mathematics, 214:1 (2007), 181
C. De Concini, C. Procesi, N. Reshetikhin, M. Rosso, “Hopf algebras with trace and representations”, Invent. math., 161:1 (2005), 1
B. Jurĉo, P. Ŝťovíĉek, “Coherent states for quantum compact groups”, Commun.Math. Phys., 182:1 (1996), 221
Volodymyr V. Lyubashenko, “Invariants of 3-manifolds and projective representations of mapping class groups via quantum groups at roots of unity”, Commun.Math. Phys., 172:3 (1995), 467
Corrado De Concini, First European Congress of Mathematics Paris, July 6–10, 1992, 1994, 93
Volodimir Lyubashenko, “Existence of R-matrix for a quantized Kac–Moody algebra”, Math. Proc. Camb. Phil. Soc., 116:2 (1994), 193

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Functional Analysis and Its Applications

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