Zobrazeno 1 - 10
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pro vyhledávání: '"Caenepeel, Frederik"'
Let $G$ be a finite group. In the first part of the paper we develop further the foundations of the youngly introduced glider representation theory. Glider representations encompass filtered modules over filtered rings and as such carry much informat
Externí odkaz:
http://arxiv.org/abs/1911.11733
The glider Brauer-Severy variety GBS(A) of a central simple algebra A over a field K is introduced as the set of all irreducible left glider ideals in A for some filtration FA. For fields we deduce that GBS(K) equals R(K) x Z, the product of the Riem
Externí odkaz:
http://arxiv.org/abs/1906.03411
Glider representations can be defined for a finite algebra filtration FKG determined by a chain of subgroups 1 < G_1 < ... < G_d = G. In this paper we develop the generalized character theory for such glider representations. We give the generalizatio
Externí odkaz:
http://arxiv.org/abs/1801.10368
Autor:
Caenepeel, Frederik
We start the study of glider representations in the setting of semisimple Lie algebras. A glider representation is defined for some positively filtered ring $FR$ and here we consider the right bounded algebra filtration $FU(\mathfrak{g})$ on the univ
Externí odkaz:
http://arxiv.org/abs/1701.05746
Publikováno v:
Algebras and Representation Theory, Volume 16, No. 4, August 2017
We continue the study of glider representations of finite groups $G$ with given structure chain of subgroups $e \subset G_1 \subset \ldots \subset G_d = G$. We give a characterization of irreducible gliders of essential length $e \leq d$ which in the
Externí odkaz:
http://arxiv.org/abs/1612.02639
Publikováno v:
Algebras and Representation Theory, Volume 19, No. 3, June 2016
Classical Clifford theory studies the decomposition of simple $G$-modules into simple $H$-modules for some normal subgroup $H \triangleleft G$. In this paper we deal with chains of normal subgroups $1 \triangleleft G_1 \triangleleft \cdots \trianglel
Externí odkaz:
http://arxiv.org/abs/1603.02493
The notion of a glider representation of a chain of normal subgroups of a group is defined by a new structure, i.e. a fragment for a suitable filtration on the group ring. This is a special case of general glider representations defined for a positiv
Externí odkaz:
http://arxiv.org/abs/1602.05338
Publikováno v:
In Journal of Algebra 1 July 2020 553:175-210
Publikováno v:
In Journal of Pure and Applied Algebra June 2019 223(6):2635-2672