Cover Image

Combinatorics of irreducible Gelfand-Tsetlin sl(3)-modules

In this paper we present an explicit description of all irreducible sl(3)-modules which admit a Gelfand-Tsetlin tableaux realization with respect to the standard Gelfand-Tsetlin subalgebra.

Saved in:

Bibliographic Details
Published in:	Algebra and Discrete Mathematics
Date:	2012
Main Author:	Ramirez, L.E.
Format:	Article
Language:	English
Published:	Інститут прикладної математики і механіки НАН України 2012
Online Access:	https://nasplib.isofts.kiev.ua/handle/123456789/152244
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:	Combinatorics of irreducible Gelfand-Tsetlin sl(3)-modules / L.E. Ramirez // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 2. — С. 276–296. — Бібліогр.: 11 назв. — англ.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine

Similar Items

Combinatorics of irreducible Gelfand-Tsetlin sl(3)-modules
by: L. E. Ramirez
Published: (2012)

Combinatorics of irreducible Gelfand-Tsetlin \(sl(3)\)-modules
by: Ramirez, Luis Enrique
Published: (2018)

Irreducible Generic Gelfand-Tsetlin Modules of gl(n)
by: Futorny, V., et al.
Published: (2015)

A new way to construct 1-singular Gelfand-Tsetlin modules
by: P. Zadunaisky
Published: (2017)

A new way to construct 1-singular Gelfand-Tsetlin modules
by: Zadunaisky, P.
Published: (2017)

The Littlewood-Richardson rule and Gelfand-Tsetlin patterns
by: Doolan, Patrick, et al.
Published: (2016)

The Littlewood-Richardson rule and Gelfand-Tsetlin patterns
by: Doolan, P., et al.
Published: (2016)

The Littlewood-Richardson rule and Gelfand-Tsetlin patterns
by: P. Doolan, et al.
Published: (2016)

Asymptotic Formulas for Macdonald Polynomials and the Boundary of the (q,t)-Gelfand-Tsetlin Graph
by: Cuenca, C.
Published: (2018)

Extension Fullness of the Categories of Gelfand-Zeitlin and Whittaker Modules
by: Coulembier, K., et al.
Published: (2015)

Classification of irreducible non-dense modules for A₂⁽²⁾
by: Bunke, T.
Published: (2009)

Projective resolution of irreducible modules over tiled order
by: V. Zhuravlev, et al.
Published: (2012)

Projective resolution of irreducible modules over tiled order
by: Zhuravlev, V., et al.
Published: (2012)

The Duals of the 2-Modular Irreducible Modules of the Alternating Groups
by: Murray, J.
Published: (2018)

Projective resolution of irreducible modules over tiled order
by: Zhuravlev, Viktor, et al.
Published: (2018)

Construction of Irreducible ()ᴳ′-Modules and Discretely Decomposable Restrictions
by: Kitagawa, Masatoshi
Published: (2025)

Weight $\mathrm {sl}(3)$-modules generated by half-primitive elements
by: Futorny , V. M., et al.
Published: (2025)

Finite-Dimensional Irreducible Modules of the Racah Algebra at Characteristic Zero
by: Huang, Hau-Wen, et al.
Published: (2020)

The Combinatorics of Associated Laguerre Polynomials
by: Kim, J.S., et al.
Published: (2015)

On the subset combinatorics of G-spaces
by: Protasov, I., et al.
Published: (2014)

On the subset combinatorics of G-spaces
by: I. Protasov, et al.
Published: (2014)

Classification of irreducible non-dense modules for \(A_{2}^{\left(2\right)}\)
by: Bunke, Thomas
Published: (2018)

Recent progress in Subset Combinatorics of Groups
by: Protasov, I.V., et al.
Published: (2017)

Recent progress in Subset Combinatorics of Groups
by: I. V. Protasov, et al.
Published: (2017)

Classification of Uq(sl₂)-Module Algebra Structures on the Quantum Plane
by: Duplij, S., et al.
Published: (2010)

Algebraic Combinatorics of application for problems coding and cryptography
by: O. S. Pustovit, et al.
Published: (2017)

sl(2)-Trivial Deformations of VectPol(R)-Modules of Symbols
by: Ben Ammar, M., et al.
Published: (2008)

Hyperbolic systems in Gelfand and Shilov spaces
by: V. A. Litovchenko
Published: (2019)

Hyperbolic systems in Gelfand and Shilov spaces
by: Litovchenko, V. A., et al.
Published: (2026)

α-Stratified modules over the Lie algebra $\text{sl} (n, ℂ)$
by: Mazorchuk, V. S., et al.
Published: (1993)

Compatibility vs combinatorics for the development of the history of ukrainian language
by: H. M. Dydyk-Meush
Published: (2019)

Aspects of the Topology and Combinatorics of Higgs Bundle Moduli Spaces
by: Rayan, S.
Published: (2018)

Expansion of a direct product of irreducible representations of semisimple Lee algebras into irreducible representations
by: Klуmуk , A. U., et al.
Published: (1966)

An Infinite-Dimensional □q-Module Obtained from the q-Shuffle Algebra for Affine sl₂
by: Post, Sarah, et al.
Published: (2020)

Free field realizations of certain modules for affine Lie algebra slˆ(n,C)
by: Martins, R.A.
Published: (2011)

Twisted de Rham Complex on Line and Singular Vectors in sl₂ˆ Verma Modules
by: Slinkin, A., et al.
Published: (2019)

On Frobenius groups with noninvariant factor SL 2(3)
by: Kozulin, S. N., et al.
Published: (2006)

Self-similar groups and finite Gelfand pairs
by: D’Angeli, Daniele, et al.
Published: (2018)

Self-similar groups and finite Gelfand pairs
by: D’Angeli, D., et al.
Published: (2007)

Весовые sl(3)-модули, порожденные полупримитивными элементами
by: Футорный, В.М.
Published: (1991)