[Turkmath:7322] Bogazici Mathematics Colloquium - poster attached

[ferit.ozturk at boun.edu.tr]

see for past/upcoming talks:
http://www.math.boun.edu.tr/index.php?option=com_content&task=section&id=49&Itemid=405
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BOGAZICI MATHEMATICS COLLOQUIUM

Construction of a Hopf algebra as the quantum invariance group of an algebra

Metin Arýk
Boðaziçi Üniversitesi, Physics

Date : Wednesday, December 1, 2010
Time: 14:00
Place: TB 250, Boðaziçi Üniversitesi

Abstract: Let A be an algebra which is a left module of a Hopf Algebra H such
that there exists
an algebra homomorphism from A to tensor product of H and A. We define H to be
a
quantum
invariance group of A. A familiar simple case is when A is C^n considered as a
free commutative 
algebra generated by n indeterminates and H is GL(n, C) considered as a
commutative Hopf Algebra
generated by n^2 indeterminates. The quantum invariance group concept is
important from the point
of view of quantum physics. We will construct the quantum invariance groups of
the d-dimensional
fermion algebra and the d-dimensional boson algebra. These examples are
important in that they
do not contain a deformation parameter.

Tea and coffee will be served at 15:00
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