An action of the Hecke monoid on rational modules for the Borel subgroup of a quantised general linear group

DOI10.1016/j.jalgebra.2016.07.004zbMath1437.20043arXiv1605.07491OpenAlexW2396651154MaRDI QIDQ514205

Ivan Yudin, Ana Paula Santana

Publication date: 28 February 2017

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.07491

zbMATH Keywords

quantum groupscategorificationHecke monoid

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Quantum groups (quantized function algebras) and their representations (20G42) Schur and (q)-Schur algebras (20G43)

Uses Software

• Magma

Cites Work

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• A two-parameter quantization of GL(n)
• Lectures on algebraic categorification
• Percentage-avoiding, northwest shapes and peelable tableaux
• Schubert polynomials and Bott-Samelson varieties
• Action of the braid group on a category
• The Magma algebra system. I: The user language
• Standard homological properties for quantum \(GL_ n\)
• Homological properties of quantised Borel-Schur algebras and resolutions of quantised Weyl modules.
• Quantum GL_n
• Two-Parameter Quantum Linear Groups and the Hyperbolic Invariance of q -Schur Algebras
• Hopf Complements and Injective Comodules for Algebraic Groups
• Four-dimensional topological quantum field theory, Hopf categories, and the canonical bases
• Clock and category: Is quantum gravity algebraic?
• Quantum linear groups

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