LAUSR

Flag-Transitive Block Designs and Finite Simple Exceptional Groups of Lie Type

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1 Published in 2020 at "Graphs and Combinatorics"

DOI: 10.1007/s00373-020-02161-0

Abstract: In this article, we study 2-designs with $$\gcd (r,\lambda )=1$$ gcd ( r , λ ) = 1 admitting a flag-transitive almost simple automorphism group with socle a finite simple exceptional group of Lie type.… read more here.

Keywords: transitive block; flag transitive; lie type; block designs ... See more keywords

n-Ary Generalized Lie-Type Color Algebras Admitting a Quasi-multiplicative Basis

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0 Published in 2018 at "Algebras and Representation Theory"

DOI: 10.1007/s10468-018-9824-2

Abstract: The class of generalized Lie-type color algebras contains the ones of generalized Lie-type algebras, of n-Lie algebras and superalgebras, commutative Leibniz n-ary algebras and superalgebras, among others. We focus on the class of generalized Lie-type… read more here.

Keywords: color; lie type; quasi multiplicative; multiplicative basis ... 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

Multiplicative *-Lie type higher derivations of standard operator algebras

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0 Published in 2021 at "Communications in Algebra"

DOI: 10.1080/00927872.2021.1906266

Abstract: Abstract Let be a standard operator algebra on an infinite dimensional complex Hilbert space containing identity operator I. Let be the polynomial defined by n indeterminates and their multiple *-Lie products and be the set… read more here.

Keywords: multiplicative lie; lie type; higher derivations; type higher ... See more keywords

*-Lie-Type Maps on Alternative *-Algebras

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3 Published in 2022 at "Journal of Algebra and Its Applications"

DOI: 10.1142/s021949882350130x

Abstract: Let A and A ′ be two alternative ∗-algebras with identities 1A and 1A ′ , respectively, and e1 and e2 = 1A − e1 nontrivial symmetric idempotents in A . In this paper we… read more here.

Keywords: lie type; maps alternative; alternative algebras; type maps ... 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

Groups of Extended Affine Lie Type

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1 Published in 2019 at "Publications of the Research Institute for Mathematical Sciences"

DOI: 10.4171/prims/55-3-5

Abstract: We construct certain Steinberg groups associated to extended affine Lie algebras and their root systems. Then by the integration methods of Kac and Peterson for integrable Lie algebras, we associate a group to every tame… read more here.

Keywords: affine lie; lie; extended affine; groups extended ... See more keywords