Cover Image

On the structure and representations of quantum graph algebras at roots of unity

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Baseilhac, Stéphane, Faitg, Matthieu, Roche, Philippe
Format:	Preprint
Published:	2026
Subjects:	Quantum Algebra Rings and Algebras Representation Theory 17B37 (Primary) 16T20, 20G42 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Noetherian and affine properties of quantum moduli and $\mathfrak{g}$-skein algebras
by: Baseilhac, Stéphane, et al.
Published: (2023)

Unrestricted Quantum Moduli Algebras, II: Noetherianity and Simple Fraction Rings at Roots of 1
by: Baseilhac, Stéphane, et al.
Published: (2021)

Weyl algebras for quantum homogeneous spaces
by: Letzter, Gail, et al.
Published: (2022)

Geometrizations of quantum groups and dual semicanonical bases
by: Bi, Yingjin
Published: (2024)

Nilpotency indices for quantum Schubert cell algebras
by: Johnson, Garrett, et al.
Published: (2024)

Quantized Weyl algebras, the double centralizer property, and a new First Fundamental Theorem for $U_q(\mathfrak{gl}_n)$
by: Letzter, Gail, et al.
Published: (2022)

On multiplicity-free weight modules over quantum affine algebras
by: Liu, Xingpeng
Published: (2023)

A Drinfeld Presentation of the Queer Super-Yangian
by: Chang, Zhihua, et al.
Published: (2025)

On a symplectic quantum Howe duality
by: Bodish, Elijah, et al.
Published: (2023)

Quantum subgroups of $SL_q(2)$ at roots of unity of arbitrary order
by: Garcia, Gaston Andres, et al.
Published: (2026)

On $n$-hereditary algebras and $n$-slice algebras
by: Guo, Jin Yun, et al.
Published: (2022)

Structure constants, Isaacs property and Extended Haagerup fusion categories
by: Burciu, Sebastian, et al.
Published: (2022)

On the dimension of the Fomin-Kirillov algebra and related algebras
by: Bärligea, Christoph
Published: (2020)

The parity of Lusztig's restriction functor and Green's formula for a quiver with automorphism
by: Fang, Jiepeng, et al.
Published: (2024)

Lusztig sheaves and integrable highest weight modules in symmetrizable cases
by: Lan, Yixin, et al.
Published: (2024)

Reciprocal relations for orthogonal quantum matrices
by: Pyatov, Pavel, et al.
Published: (2025)

Pointed Hopf algebras, the Dixmier-Moeglin Equivalence and Noetherian group algebras
by: Bell, Jason P., et al.
Published: (2025)

Integral cluster structures on quantized coordinate rings
by: Oya, Hironori, et al.
Published: (2025)

Isomorphisms of quantum spheres
by: D'Andrea, Francesco
Published: (2024)

Cyclic adjoint modules and their embeddings in quantized enveloping algebras
by: Bhattacharjee, Arnab
Published: (2026)

The lowest discriminant ideal of a Cayley-Hamilton Hopf algebra
by: Mi, Zhongkai, et al.
Published: (2023)

Hopf actions of some quantum groups on path algebras
by: Kinser, Ryan, et al.
Published: (2020)

The Koszul complex and a certain induced module for a quantum group
by: Tanisaki, Toshiyuki
Published: (2022)

Q-W-algebras, Zhelobenko operators and a proof of De Concini-Kac-Procesi conjecture
by: Sevostyanov, Alexey
Published: (2021)

Classification of real modules in monoidal categorifications of cluster algebras
by: Duan, Bing, et al.
Published: (2025)

Dimension growth and Gelfand-Kirillov dimension of representations of quantum groups
by: Futorny, Vyacheslav, et al.
Published: (2025)

Geometric realizations of Ringel-Hall algebras of continuous quivers of type $A$
by: Zhao, Minghui
Published: (2025)

Lie algebras arising from two-periodic projective complex and derived categories
by: Fang, Jiepeng, et al.
Published: (2023)

Structure coefficients for quantum groups
by: Lan, Yixin, et al.
Published: (2025)

Complete Structural Analysis of $q$-Heisenberg Algebras: Homology, Rigidity, Automorphisms, and Deformations
by: Rashid, Mohammad H. M
Published: (2025)

The Capelli eigenvalue problem for quantum groups
by: Letzter, Gail, et al.
Published: (2022)

Canonical bases of tensor products and positivity properties
by: Fang, Jiepeng, et al.
Published: (2025)

The ring of differential operators on a quantized flag manifold
by: Tanisaki, Toshiyuki
Published: (2024)

Weight modules for quantum symmetric pair subalgebras
by: Stroppel, Catharina, et al.
Published: (2026)

A geometric realization of liftings of Cartan type
by: Bagio, D., et al.
Published: (2025)

Triangular Decomposition of the Crystal Lattice of Quantized Function Algebras: Revisited
by: Dey, Ayan
Published: (2026)

Quantized semisimple Lie groups
by: Fioresi, Rita, et al.
Published: (2024)

Algebraic isomorphisms of quantized homogeneous spaces
by: Yuncken, Robert
Published: (2024)

On the Drinfeld double of a finite group scheme and its representation category
by: Arreola, Daniel, et al.
Published: (2026)

Lusztig sheaves and tensor products of integrable highest weight modules
by: Fang, Jiepeng, et al.
Published: (2023)