BPS states, conserved charges and centres of symmetric group algebras
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DOI: 10.1007/jhep01(2020)146
Abstract: In N $$ \mathcal{N} $$ = 4 SYM with U( N ) gauge symmetry, the multiplicity of half-BPS states with fixed dimension can be labelled by Young diagrams and can be distinguished using conserved charges… read more here.
Keywords: centres symmetric; group algebras; symmetric group; bps states ... See more keywords
Clifford Algebras as Twisted Group Algebras and the Arf Invariant
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DOI: 10.1007/s00006-018-0862-y
Abstract: Some connections between quadratic forms over the field of two elements, Clifford algebras of quadratic forms over the real numbers, real graded division algebras, and twisted group algebras will be highlighted. This allows to revisit… read more here.
Keywords: algebras twisted; arf invariant; group algebras; twisted group ... See more keywords
Twisted Group C*-Algebras as Compact Quantum Metric Spaces
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DOI: 10.1007/s00025-016-0562-7
Abstract: We construct a class of compact quantum metric spaces. We prove that twisted reduced group C*-algebras for discrete groups with twisted rapid decay property are compact quantum metric spaces, which contain noncommutative tori, hyperbolic reduced… read more here.
Keywords: quantum metric; group algebras; compact quantum; metric spaces ... See more keywords
Weak regularity of group algebras
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DOI: 10.1007/s00233-018-9963-0
Abstract: A Banach algebra $$\mathcal {A}$$A is called weakly regular if its multiplicative semigroup is E-inversive. We show that for a unimodular group G which admits an integrable unitary representation, $$L^1(G)$$L1(G) is weakly regular. Moreover for… read more here.
Keywords: regularity group; group algebras; group; weakly regular ... See more keywords
Units of Group Algebras of the Fours Group
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of The Iranian Mathematical Society"
DOI: 10.1007/s41980-019-00330-3
Abstract: We obtain some necessary conditions on coefficients of possible units of even (resp., odd) L-length in the group algebra $$K\Gamma $$, where $$\Gamma $$ is the (Passman) fours group. In particular, the relations between the… read more here.
Keywords: group algebras; group; units group; algebras fours ... See more keywords
Quotients of Passman Fours Group and Non-units of Their Group Algebras
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DOI: 10.1007/s41980-020-00475-6
Abstract: The famous unit conjecture for group algebras states that every unit is trivial. The validity of this conjecture is not known for the sightly simple example of fours group = 〈x, y | (x2)y =… read more here.
Keywords: unit; quotients passman; group algebras; group ... See more keywords
Color Lie rings and PBW deformations of skew group algebras
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DOI: 10.1016/j.jalgebra.2018.10.012
Abstract: We investigate color Lie rings over finite group algebras and their universal enveloping algebras. We exhibit these universal enveloping algebras as PBW deformations of skew group algebras: Every color Lie ring over a finite group… read more here.
Keywords: lie rings; universal enveloping; color lie; group algebras ... See more keywords
Description of outer derivations of the group algebras
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DOI: 10.1016/j.topol.2019.107013
Abstract: Abstract A description of the algebra of outer derivations of a group algebra of a finitely presented discrete group is given in terms of the Cayley complex of the groupoid of the adjoint action of… read more here.
Keywords: derivations group; description outer; group algebras; group ... See more keywords
Tensor product decomposition rules for weight modules over the Hopf–Ore extensions of group algebras
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DOI: 10.1080/00927872.2017.1350697
Abstract: ABSTRACT In this paper, we investigate the tensor structure of the category of finite- dimensional weight modules over the Hopf–Ore extensions kG(χ−1,a,0) of group algebras kG. The tensor product decomposition rules for all indecomposable weight… read more here.
Keywords: group algebras; weight modules; extensions group; hopf ore ... See more keywords
The modular group algebras of p-groups of maximal class II
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DOI: 10.1080/00927872.2018.1498860
Abstract: Abstract The modular isomorphism problem is settled for 3-groups of maximal class but two families of groups. Moreover, the conjecture that the ideals belonging to the lower central series of a group base are determined… read more here.
Keywords: modular group; maximal class; class; group algebras ... See more keywords
On group algebras whose group of units has maximal derived length
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DOI: 10.1080/00927872.2018.1499925
Abstract: Abstract Let G be a finite p-group, and let F be a field of characteristic p. C. Bagiński proved that if is cyclic of order pn, then the derived length of the group of units… read more here.
Keywords: group units; whose group; units maximal; group algebras ... See more keywords