Ya. S. Soibel'man, “On the quantum flag manifold”, Funktsional. Anal. i Prilozhen., 26:3 (1992), 90–92; Funct. Anal. Appl., 26:3 (1992), 225

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Funktsional'nyi Analiz i ego Prilozheniya, 1992, Volume 26, Issue 3, Pages 90–92 (Mi faa809)

This article is cited in 19 scientific papers (total in 19 papers)

Brief communications

On the quantum flag manifold

Ya. S. Soibel'man

Rostov State University

Full-text PDF (424 kB) Citations (19)

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Received: 29.08.1990

English version:
Functional Analysis and Its Applications, 1992, Volume 26, Issue 3, Pages 225–227
DOI: https://doi.org/10.1007/BF01075642

Bibliographic databases:

Document Type: Article

UDC: 512.554.3+512.667.7

Language: Russian

Citation: Ya. S. Soibel'man, “On the quantum flag manifold”, Funktsional. Anal. i Prilozhen., 26:3 (1992), 90–92; Funct. Anal. Appl., 26:3 (1992), 225–227

Citation in format AMSBIB

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\pages 90--92

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\jour Funct. Anal. Appl.

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\pages 225--227

\crossref{https://doi.org/10.1007/BF01075642}

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Linking options:

https://www.mathnet.ru/eng/faa809

https://www.mathnet.ru/eng/faa/v26/i3/p90

This publication is cited in the following 19 articles:

Réamonn Ó Buachalla, Petr Somberg, “Lusztig's Positive Root Vectors and a Dolbeault Complex for the A-Series Full Quantum Flag Manifolds”, Journal of Algebra, 2025
Alessandro Carotenuto, Fredy Díaz García, Reamonn Ó Buachalla, “A Borel–Weil Theorem for the Irreducible Quantum Flag Manifolds”, International Mathematics Research Notices, 2023:15 (2023), 12977
L. RIGAL, P. ZADUNAISKY, “QUANTUM TORIC DEGENERATION OF QUANTUM FLAG AND SCHUBERT VARIETIES”, Transformation Groups, 26:3 (2021), 1113
K. De Commer, M. Matassa, “Quantum flag manifolds, quantum symmetric spaces and their associated universal K-matrices”, Advances in Mathematics, 366 (2020), 107029
Réamonn Ó Buachalla, “Noncommutative complex structures on quantum homogeneous spaces”, Journal of Geometry and Physics, 99 (2016), 154
Edwin Beggs, S. Paul Smith, “Non-commutative complex differential geometry”, Journal of Geometry and Physics, 72 (2013), 7
Réamonn Ó Buachalla, “Quantum Bundle Description of Quantum Projective Spaces”, Commun. Math. Phys., 316:2 (2012), 345
Milen Yakimov, “A classification of 𝐻-primes of quantum partial flag varieties”, Proc. Amer. Math. Soc., 138:4 (2009), 1249
Stefan Kolb, “The AS–Cohen–Macaulay property for quantum flag manifolds of minuscule weight”, Journal of Algebra, 319:8 (2008), 3518
István Heckenberger, Stefan Kolb, “De Rham complex for quantized irreducible flag manifolds”, Journal of Algebra, 305:2 (2006), 704
R. Fioresi, “Commutation relations among quantum minors in Oq(Mn(k))”, Journal of Algebra, 280:2 (2004), 655
Christian Ohn, ““Classical” Flag Varieties for Quantum Groups: The Standard Quantum SL(n,C)”, Advances in Mathematics, 171:1 (2002), 103
N. Reshetikhin, A. Voronov, A. Weinstein, “Semiquantum geometry”, J. Math. Sci., 82:1 (1996), 3255–3267
A. R. GOVER, R. B. ZHANG, “GEOMETRY OF QUANTUM HOMOGENEOUS VECTOR BUNDLES AND REPRESENTATION THEORY OF QUANTUM GROUPS I”, Rev. Math. Phys., 11:05 (1999), 533
R. Fioresi, “Quantum Deformation of the Grassmannian Manifold”, Journal of Algebra, 214:2 (1999), 418
R. Fioresi, “Quantizations of Flag Manifolds and Conformal Space Time”, Rev. Math. Phys., 09:04 (1997), 453
Pavel Šťovı́ček, Reidun Twarock, “Representations of 𝒰h (𝔰𝔲(N) ) derived from quantum flag manifolds”, Journal of Mathematical Physics, 38:2 (1997), 1161
B. Jurĉo, P. Ŝťovíĉek, “Coherent states for quantum compact groups”, Commun.Math. Phys., 182:1 (1996), 221
J. Donin, D. Gurevich, “Quantum orbits of theR-matrix type”, Lett Math Phys, 35:3 (1995), 263

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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Full-text PDF :	224
References:	60
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