LAUSR

Decomposing moduli of representations of finite-dimensional algebras

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0 Published in 2017 at "Mathematische Annalen"

DOI: 10.1007/s00208-018-1687-7

Abstract: Consider a finite-dimensional algebra A and any of its moduli spaces $${{\mathcal {M}}}(A,\mathbf {d})^{ss}_{\theta }$$M(A,d)θss of representations. We prove a decomposition theorem which relates any irreducible component of $${{\mathcal {M}}}(A,{\mathbf {d}})^{ss}_{\theta }$$M(A,d)θss to a product… read more here.

Keywords: finite dimensional; moduli representations; moduli spaces; representations finite ... See more keywords

Modular characteristic classes for representations over finite fields

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1 Published in 2018 at "Advances in Mathematics"

DOI: 10.1016/j.aim.2017.10.029

Abstract: Abstract The cohomology of the degree-n general linear group over a finite field of characteristic p, with coefficients also in characteristic p, remains poorly understood. For example, the lowest degree previously known to contain nontrivial… read more here.

Keywords: nontrivial elements; characteristic classes; finite fields; cohomology ... See more keywords

Moments of Weil representations of finite special unitary groups

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1 Published in 2020 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2019.02.039

Abstract: Abstract We prove an “nth moment =1” result for irreducible Weil representations of degree ( q n + 1 ) / ( q + 1 ) of special unitary groups SU n ( q )… read more here.

Keywords: moments weil; special unitary; unitary groups; finite special ... See more keywords

Construction of the irreducible modular representations of a finite group

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0 Published in 2020 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2019.08.015

Abstract: Abstract A complete procedure is described for constructing the irreducible KG-modules and their Brauer characters, where K is a finite field of characteristic p and G is a finite permutation or matrix group. The central… read more here.

Keywords: construction irreducible; modular representations; finite group; representations finite ... See more keywords

Lübeck's classification of representations of finite simple groups of Lie type and the inverse Galois problem for some orthogonal groups

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1 Published in 2017 at "Journal of Number Theory"

DOI: 10.1016/j.jnt.2019.06.010

Abstract: Abstract In this paper we prove that for each integer of the form n = 4 ϖ (where ϖ is a prime between 17 and 73) at least one of the following groups: P Ω… read more here.

Keywords: groups lie; simple groups; galois; lie type ... See more keywords

Trace of powers of representations of finite quantum groups

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1 Published in 2019 at "Journal of Algebra and Its Applications"

DOI: 10.1142/s0219498820501248

Abstract: In this paper, we study (asymptotic) properties of the ∗-distribution of irreducible characters of finite quantum groups. We proceed in two steps, first examining the representation theory to determine irreducible representations and their powers, then… read more here.

Keywords: trace powers; distribution; quantum groups; powers representations ... See more keywords

Almost cyclic elements in cross-characteristic representations of finite groups of Lie type

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0 Published in 2019 at "Journal of Group Theory"

DOI: 10.1515/jgth-2018-0162

Abstract: Abstract This paper is a significant contribution to a general programme aimed to classify all projective irreducible representations of finite simple groups over an algebraically closed field, in which the image of at least one… read more here.

Keywords: groups lie; lie type; almost cyclic; cyclic elements ... See more keywords

On the Structure of Finite Groupoids and Their Representations

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1 Published in 2019 at "Symmetry"

DOI: 10.3390/sym11030414

Abstract: In this paper, both the structure and the theory of representations of finite groupoids are discussed. A finite connected groupoid turns out to be an extension of the groupoids of pairs of its set of… read more here.

Keywords: groupoids representations; structure finite; structure; finite groupoids ... See more keywords