Representation Theory Seminar
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Thu, 29/04/2010 14:30 |
Armin Shalile (Oxford) |
Representation Theory Seminar  |
L3 |
| We define Brauer characters for Brauer algebras which share many of the features of Brauer characters defined for finite groups. Since notions such as conjugacy classes and orders of elements are not a priori meaningful for Brauer algebras, we show which structure replaces the conjugacy classes and determine eigenvalues associated to these. | |||
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Thu, 06/05/2010 14:30 |
Dusko Bogdanic (Oxford) |
Representation Theory Seminar |
L3 |
| We introduce the idea of transfer of gradings via derived equivalences and we apply it to construct positive gradings on a basic Brauer tree algebra corresponding to an arbitrary Brauer tree T. We do this by transferring gradings via derived equivalence from a basic Brauer tree algebra, whose tree is a star. To transfer gradings via derived equivalence we use tilting complexes constructed by taking Green's walk around T. We also prove that there is a unique grading on an arbitrary Brauer tree algebra, up to graded Morita equivalence and rescaling. | |||
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Thu, 13/05/2010 14:30 |
Kai Meng Tan (National University of Singapore) |
Representation Theory Seminar |
L3 |
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Thu, 20/05/2010 14:30 |
John MacQuarrie (Bristol) |
Representation Theory Seminar |
L3 |
| A profinite group is the inverse limit of an inverse system of finite groups. While such groups are set-wise `big', the inverse system gives profinite groups a close relationship with finite groups - a conduit through which important results can flow. Our goal is to construct a modular representation theory for profinite groups. We show how several foundational results (about relative projectivity, vertices, sources) from the established theory for finite groups can pass through an inverse system, to the limit. | |||
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Mon, 24/05/2010 02:00 |
see page events/liepowers |
Representation Theory Seminar |
L1 |
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Tue, 25/05/2010 00:00 |
see page events/liepowers |
Representation Theory Seminar |
L1 |
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Wed, 26/05/2010 00:00 |
see events/liepowers |
Representation Theory Seminar |
L1 |
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Thu, 03/06/2010 14:30 |
Florian Eisele (RWTH Aachen) |
Representation Theory Seminar |
L3 |
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Thu, 17/06/2010 14:30 |
P. Kochloukov (Campinas, Brazil) |
Representation Theory Seminar |
L3 |
| The A-identities were first studied (although implicitly) around 1955 by Kostant. Their more systematic study was started some 10 years ago by Regev. Later on Henke and Regev studied these identities in the Grassmann algebra.An A-monomial of degree n is an even permutation of the noncommutative variables x_1 to x_n; an A-polynomial of degree n is a linear combination of such monomials in the free associative algebra.Henke and Regev proposed two conjectures concerning the A-identities satisfied by the Grassmann algebra, and the minimal degree of an A-identity for the matrix algebras. I shall discuss these two conjectures. The first turns out to be true while the second fails. | |||
