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Citation/Abstract

Index theorems for noncommutative two-tori and Hochschild cohomology for quantum special linear groups

by Alexander, Gary Clark, Ph.D., Northwestern University, 2008, 142 pages; AAT 3303701

Abstract (Summary)

This paper covers three main topics. The first is addressing the question of interpolating between disparate index theorems on noncommutative two-tori. The second is to compute Hochschild cohomology for quantum special linear and special unitary groups. The third is producing an orthonormal basis for the vector space of matrix corepresentations for quantum special unitary groups.

Indexing (document details)

Advisor:	Tsygan, Boris
Committee members:	Wunsch, Jared, Tamarkin, Dmitry
School:	Northwestern University
Department:	Mathematics
School Location:	United States -- Illinois
Keyword(s):	Hochschild cohomology, Index theorems, Noncommutative two-tori, Quantum linear groups
Source:	DAI-B 69/03, Sep 2008
Source type:	Dissertation
Subjects:	Mathematics
Publication Number:	AAT 3303701
ISBN:	9780549503958
Document URL:	http://proquest.umi.com/pqdweb?did=1495949761&sid=1&Fmt=2&cl ientId=59768&RQT=309&VName=PQD
ProQuest document ID:	1495949761

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