Results 11 to 20 of about 121,442 (233)

On Primitive Representations of Finite Alternating and Symmetric Groups with a 2-Transitive Subconstituent

Journal of Algebra, 1996
Let \(G\) be a primitive permutation group on a finite set \(\Omega\) having a 2-transitive subconstituent \(G^{\Delta(\alpha)}_\alpha\) where \(\alpha\in\Omega\). By a theorem of the first author either \(G\) has a regular normal subgroup or \(G\) is almost simple. In this paper the almost simple case is studied under the assumption that the socle of \
Praeger, Cheryl E., Wang, Jie
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Twisted quantum Drinfeld Hecke algebras [PDF]

, 2012
We generalize quantum Drinfeld Hecke algebras by incorporating a 2-cocycle on the associated finite group. We identify these algebras as specializations of deformations of twisted skew group algebras, giving an explicit connection to Hochschild ...
Adem, Deepak Naidu, Drinfeld, Wambst
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Semi-invariants of symmetric quivers of tame type [PDF]

, 2010
A symmetric quiver $(Q,\sigma)$ is a finite quiver without oriented cycles $Q=(Q_0,Q_1)$ equipped with a contravariant involution $\sigma$ on $Q_0\sqcup Q_1$. The involution allows us to define a nondegenerate bilinear form $$ on a representation $V$ of $
A Schofield, A Schofield, A Skowronski, AA Lopatin, AA Lopatin, AN Zubkov, C Procesi, CM Ringel, CM Ringel, DA Shmelkin, H Derksen, H Derksen, I Assem, IG Macdonald, IN Bernstein, K Akin, K Igusa, M Auslander, M Domokos, M Sato, P Magyar, Riccardo Aragona, VG Kac, W Fulton   +23 more
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Algorithms for Highly Symmetric Linear and Integer Programs [PDF]

, 2011
This paper deals with exploiting symmetry for solving linear and integer programming problems. Basic properties of linear representations of finite groups can be used to reduce symmetric linear programming to solving linear programs of lower dimension ...
E.J. Friedman, F. Margot, G.M. Ziegler, H.W. Lenstra Jr., J. Köbler, Katrin Herr, Michael Joswig, P.J. Cameron, R. Bixby, R. Bödi, Richard Bödi, T. Berthold, V. Kaibel   +12 more
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Derived Picard groups of symmetric representation-finite algebras of type $D$

, 2021
We explicitly describe the derived Picard groups of symmetric representation-finite algebras of type $D$. In particular, we prove that these groups are generated by spherical twists along collections of $0$-spherical objects, the shift and autoequivalences which come from outer automorphisms of a particular representative of the derived equivalence ...
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Complex group algebras of the double covers of the symmetric and alternating groups [PDF]

, 2015
We prove that the double covers of the alternating and symmetric groups are determined by their complex group algebras. To be more precise, let $n\geq 5$ be an integer, $G$ a finite group, and let $\AAA$ and $\SSS^\pm$ denote the double covers of $\Al_n$
Bessenrodt, Christine, Nguyen, Hung Ngoc, Olsson, Jørn B., Tong-Viet, Hung P.   +3 more
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Symmetric representation of the elements of finite groups

, 2006
Many finite groups, including all finite non-abelian simple groups, can be symmetrically generated by involutions. In this paper we give an algorithm to symmetrically represent elements of finite groups and to transform symmetrically represented elements in terms of their permutation representation.
Hasan, Z., Kasouha, A.
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Multiplicities of some graded сocharacters of the matrix superalgebra M(2,2)(F) [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика
Let $F$ be an arbitrary field of characteristic zero, and let $M^{(m,k)}(F)$ be a matrix superalgebra over $F$. It is known from the theory of algebras with polynomial identities that the superalgebra $M^{(m,k)}(F)$ has a finite basis of $Z_2$-graded ...
Antonov, Stepan Yuryevich, Antonova, Alina Vladimirovna   +1 more
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On irreducible projective representations of finite groups [PDF]

Surveys in Mathematics and its Applications, 2009
The paper is a survey type article inwhich we present some results on irreducible projective representations offinite groups. Section 2 includes Curtis and Reiner's theorem inwhich is proved that a finite group has at most a finite number ofinequivalent ...
Tania-Luminiţa Costache
doaj  

Symmetrical Powers of Representations of Finite Groups

Journal of Algebra, 1993
The main result is that if \(V\) is a finite dimensional faithful module for a finite group \(G\) over a field \(K\) and \(c\) is the number of elements of \(G\) which have scalar action on \(V\) then, for large values of \(n\), the sum of \(c\) consecutive symmetric powers \(S_n(V) \oplus S_{n + 1} (V) \oplus \cdots \oplus S_{n + c - 1} (V)\) is close
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