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On twisted conjugacy classes of type D in sporadic simple groups
twisted conjugacy classes type D sporadic simple groups Quantum Algebra
2011/8/23
Abstract: We determine twisted conjugacy classes of type D associated to the sporadic simple groups. This is an important step in the program of the classification of finite-dimensional pointed Hopf a...
We classify twisted conjugacy classes in loop groups, restricted to classical groups. The main tool we used is the so-called D_q module, an object which is related to vector bundles over elliptic curv...
Conjugacy classes in Weyl groups and q-W algebras
Conjugacy classes Weyl groups q-W algebras
2010/11/17
We define noncommutative deformations W_q^s(G) of algebras of regular functions on certain transversal slices to the set of conjugacy classes in an algebraic group G which play the role of Slodowy sl...
Representation Growth in positive characteristic and conjugacy classes of maximal subgroups
Representation Growth positive characteristic conjugacy classes of maximal subgroups
2010/12/6
There have been a number of recent papers on the representation growth of various families of groups. In particular, see [LL], where very good estimates were given for the zeta function counting the c...
Conjugacy Classes of Finite Subgroups of Certain Mapping Class Groups
Hyperelliptic mapping class group finite subgroups of mapping class group
2010/2/26
We give a complete description of conjugacy classes of finite subgroups of the mapping class group of the sphere with r marked points. As a corollary we obtain a description of conjugacy classes of ma...
Conjugacy classes in maximal parabolic subgroups of general linear groups
Conjugacy classes parabolic subgroups linear groups
2010/10/29
We compute conjugacy classes in maximal parabolic subgroups of the general linear group. This computation proceeds by reducing to a ``matrix problem''. Such problems involve finding normal forms for ...
Conjugacy Classes of Elliptic Elements in the Picard Group
Conjugacy Classes Elliptic Elements Picard Group
2010/3/1
The Picard group \mathbf{P} is a discrete subgroup of PSL(2,\Bbb{C}) with Gaussian integer coefficients. Here it is shown that the total number of conjugacy classes of elliptic elements of order 2 and...