An analogue of Weyl’s law for quantized irreducible generalized flag manifolds
DOI10.1063/1.4931606zbMath1357.17017arXiv1410.8029OpenAlexW2117668930MaRDI QIDQ3192701
Publication date: 13 October 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.8029
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Geometry of quantum groups (58B32) Applications of functional analysis in quantum physics (46N50) Noncommutative geometry (à la Connes) (58B34)
Related Items (2)
Uses Software
Cites Work
- Non-commutative integration, zeta functions and the Haar state for \(\mathrm{SU}_q(2)\)
- Quantum dimension and quantum projective spaces
- De Rham complex for quantized irreducible flag manifolds
- Quantum group invariants and link polynomials
- Quantized flag manifolds and irreducible \(*\)-representations
- Quantum Lie algebras, their existence, uniqueness and \(q\)-antisymmetry
- LieART -- a Mathematica application for Lie algebras and representation theory
- Dirac operators on quantum flag manifolds
- Casimir invariants for Hopf algebras
- A local index formula for the quantum sphere
- The Martin boundary of a discrete quantum group
- The locally finite part of the dual coalgebra of quantized irreducible flag manifolds
- Representations of compact groups realized by spherical functions on symmetric spaces
- On the Dolbeault-Dirac operator of quantized symmetric spaces
- Lie groups beyond an introduction
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: An analogue of Weyl’s law for quantized irreducible generalized flag manifolds