Results 11 to 20 of about 622,832 (86)

The small quantum group and the Springer resolution [PDF]

, 2006
In math.RT/0304173 the derived category of the principal block in modules over the Lusztig quantum algebra at a root of unity is related to the derived category of equivariant coherent sheaves on the Springer resolution.
R. Bezrukavnikov, A. Lachowska
semanticscholar   +1 more source

Opers with irregular singularity and spectra of the shift of argument subalgebra [PDF]

, 2007
The universal enveloping algebra of any simple Lie algebra g contains a family of commutative subalgebras, called the quantum shift of argument subalgebras math.RT/0606380, math.QA/0612798.
B. Feigin, E. Frenkel, L. Rybnikov
semanticscholar   +1 more source

On the quasi-exponent of finite-dimensional Hopf algebras [PDF]

, 2001
Recall (math.QA/9812151) that the exponent of a finite-dimensional complex Hopf algebra H is the order of the Drinfeld element u of the Drinfeld double D(H) of H. Recall also that while this order may be infinite, the eigenvalues of u are always roots of
P. Etingof, Shlomo Gelaki
semanticscholar   +1 more source

Biperfect Hopf Algebras [PDF]

, 1999
Recall that a finite group is called perfect if it does not have non-trivial 1-dimensional representations (over the field of complex numbers C). By analogy, let us say that a finite dimensional Hopf algebra H over C is perfect if any 1-dimensional H ...
P. Etingof, Shlomo Gelaki, R. Guralnick, J. Saxl   +3 more
semanticscholar   +1 more source

A simple algebraic proof of the algebraic index theorem [PDF]

, 2004
In math.QA/0311303 B. Feigin, G. Felder, and B. Shoikhet proposed an explicit formula for the trace density map from the quantum algebra of functions on an arbitrary symplectic manifold M to the top degree cohomology of M. They also evaluated this map on
Po-Ning Chen, V. Dolgushev
semanticscholar   +1 more source

Introduction to Haar Measure Tools in Quantum Information: A Beginner's Tutorial [PDF]

Quantum, 2023
The Haar measure plays a vital role in quantum information, but its study often requires a deep understanding of representation theory, posing a challenge for beginners.
A. A. Mele
semanticscholar   +1 more source

Classification of quantum groups and Belavin--Drinfeld cohomologies for orthogonal and symplectic Lie algebras [PDF]

, 2015
In this paper we continue to study Belavin-Drinfeld cohomology introduced in arXiv:1303.4046 [math.QA] and related to the classification of quantum groups whose quasi-classical limit is a given simple complex Lie algebra. Here we compute Belavin-Drinfeld
Alexander Stolin, Belavin A., Boris Kadets, Drinfeld V., Etingof P., Eugene Karolinsky, Iulia Pop   +6 more
core   +2 more sources

Twist star products and Morita equivalence [PDF]

, 2017
We present a simple no-go theorem for the existence of a deformation quantization of a homogeneous space M induced by a Drinfel'd twist: we argue that equivariant line bundles on M with non-trivial Chern class and symplectic twist star products cannot ...
D'Andrea, Francesco, Weber, Thomas
core   +3 more sources

Level -1/2 Realization of Quantum N-Toroidal Algebra in Type Cn [PDF]

Algebra Colloquium, 2020
We construct a level -1/2 vertex representation of the quantum [Formula: see text]-toroidal algebra of type [Formula: see text], which is a natural generalization of the usual quantum toroidal algebra.
N. Jing, Qianbao Wang, Honglian Zhang
semanticscholar   +1 more source

Deformation of dual Leibniz algebra morphisms [PDF]

Communications in Algebra 35 (2007), 1369-1378, 2006
An algebraic deformation theory of morphisms of dual Leibniz algebras is obtained.
arxiv   +1 more source