Cover Image

α-Stratified modules over the Lie algebra $\text{sl} (n, ℂ)$

Properties of the generalized Weyl group are studied for α-stratified modules over the Lie algebra $\text{sl} (n, ℂ)$.

Saved in:

Bibliographic Details
Date:	1993
Main Authors:	Mazorchuk, V. S., Мазорчук, В. С.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1993
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5923
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

α-Расслоенные модули над алгеброй Ли sl(n,C)
by: Мазорчук, В.С.
Published: (1993)

On unitarizable modules over generalized Virasoro algebras
by: Mazorchuk, V. S., et al.
Published: (1998)

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

On finitistic dimension of stratified algebras
by: Mazorchuk, Volodymyr
Published: (2018)

On finitistic dimension of stratified algebras
by: Mazorchuk, V.
Published: (2004)

Free field realizations of certain modules for affine Lie algebra \(\widehat{sl}(n,\mathbb{C})\)
by: Martins, Renato A.
Published: (2018)

The generalized path algebras over standardly stratified algebras
by: Wang, Shugui
Published: (2018)

The generalized path algebras over standardly stratified algebras
by: Wang, S.
Published: (2006)

Lie algebras associated with modules over polynomial rings
by: A. P. Petravchuk, et al.
Published: (2017)

Lie algebras associated with modules over polynomial rings
by: Petravchuk, A. P., et al.
Published: (2017)

Induced Modules for Affine Lie Algebras
by: Futorny, V., et al.
Published: (2009)

Extreme modules over the Weyl algebra $A_n$
by: Bavula, V. V., et al.
Published: (1993)

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

Actions of Lie algebra $\mathfrak{sl}_2$ on symmetric polynomials and on Young diagrams
by: Bedratyuk, L., et al.
Published: (2026)

Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras
by: Fuchs, D., et al.
Published: (2008)

The Harish-Chandra theorem for the quantum algebra $u_q (\text{sl} (3))$
by: Guzner, B. Z., et al.
Published: (1993)

On the sum of an almost abelian Lie algebra and a Lie algebra finite-dimensional over its center
by: Petravchuk, A. P., et al.
Published: (1999)

String Functions for Affine Lie Algebras Integrable Modules
by: Kulish, P., et al.
Published: (2008)

Classification of modules of dimension $n$ and multiplicity 1 over the Weyl algebra $A_n$
by: Bavula, V. V., et al.
Published: (1996)

Two-step tilting for standardly stratified algebras
by: Frisk, Anders
Published: (2018)

Two-step tilting for standardly stratified algebras
by: Frisk, A.
Published: (2004)

Frattini theory for N-Lie algebras
by: Michael Peretzian Williams
Published: (2009)

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

A note on simplicity of contact Lie algebras over GF(2)
by: Zargeh, C.
Published: (2017)

On the Number of τ-Tilting Modules over Nakayama Algebras
by: Gao, Hanpeng, et al.
Published: (2020)

Simple transitive 2-representations for two non-fiat 2-categories of projective functors
by: Mazorchuk, V. S., et al.
Published: (2018)

Leibniz Algebras and Lie Algebras
by: Mason, G., et al.
Published: (2013)

On Representations of C*-Algebras On, α of the Cuntz Type
by: Sergienko, U. O., et al.
Published: (2002)

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

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

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

Geometric Theory of the Recursion Operators for the Generalized Zakharov-Shabat System in Pole Gauge on the Algebra sl(n,C) with and without Reductions
by: Yanovski, A.B., et al.
Published: (2012)

Quadratic Relations of the Deformed -Algebra for the Twisted Affine Lie Algebra of Type ⁽²⁾₂N
by: Kojima, Takeo
Published: (2022)

SL(2, C) Gustafson Integrals
by: Derkachov, S.É., et al.
Published: (2018)

Real Slices of SL(, ℂ)-Opers
by: Biswas, Indranil, et al.
Published: (2023)

Cohomology and formal deformations of n-Hom–Lie color algebras
by: K. Abdaoui, et al.
Published: (2023)

Cohomology and formal deformations of $n$-Hom–Lie color algebras
by: Abdaoui, K., et al.
Published: (2023)

Poincare series of the multigraded algebras of SL 2-invariants
by: Bedratyuk, L. P., et al.
Published: (2011)

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

Realizations of affine Lie algebras
by: Futorny, Vyacheslav
Published: (2018)