Results 41 to 50 of about 5,136 (119)

A Stone-Weierstrass theorem for group representations

International Journal of Mathematics and Mathematical Sciences, 1978
It is well known that if G is a compact group and π a faithful (unitary) representation, then each irreducible representation of G occurs in the tensor product of some number of copies of π and its contragredient. We generalize this result to a separable
Joe Repka
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On Representations of sl(n, C) Compatible with a Z2-grading

Acta Polytechnica, 2010
This paper extends existing Lie algebra representation theory related to Lie algebra gradings. The notion of a representation compatible with a given grading is applied to finite-dimensional representations of sl(n,C) in relation to its Z2-gradings.
M. Havlíček, E. Pelantová, J. Tolar
doaj  

ON CLASSIFICATION OF YANGIAN IRREDUCIBLE REPRESENTATIONS OF LIE SUPERALGEBRA SL (1, 2)

Вестник Донского государственного технического университета, 2018
The classification of Yangian irreducible finite-dimensional representations of Lie superalgebra sl(1,2) – Hopf superalgebra is obtained. The classification is of great use in modern theoretical and mathematical physics.
Vladimir A. Stukopin
doaj  

Electroweak gauge invariant Higgs multiplets

Journal of High Energy Physics
We investigate the potential of general Higgs multiplets. We establish the domain of general Higgs multiplets within the context of the adjoint representation.
M. Maniatis
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Bounds on multiplicities of symmetric pairs of finite groups

Forum of Mathematics, Sigma
Let $\Gamma $ be a finite group, let $\theta $ be an involution of $\Gamma $ and let $\rho $ be an irreducible complex representation of $\Gamma $ .
Avraham Aizenbud, Nir Avni
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On the representation theory of the alternating groups [PDF]

International Journal of Group Theory, 2013
We present the basic results on the representation theory of the alternating groups. Our approach is based on Clifford theory.
Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli   +2 more
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Macdonald deformation of Vogel's universality and link hyperpolynomials

Physics Letters B
Vogel's universality implies a unified description of the adjoint sector of representation theory for simple Lie algebras in terms of three parameters α,β,γ, which are homogeneous coordinates of Vogel's plane. Actually this is true (if at all) only for a
Liudmila Bishler, Andrei Mironov, Alexei Morozov   +2 more
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On the Structure of С*-Algebras Generated by Representations of the Elementary Inverse Semigroup [PDF]

Учёные записки Казанского университета: Серия Физико-математические науки, 2016
The class of С*-algebras generated by the elementary inverse semigroup and being deformations of the Toeplitz algebra has been introduced and studied. The properties of these algebras have been investigated.
S.A. Grigoryan, E.V. Lipacheva
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Three generations and a trio of trialities

Physics Letters B
We identify the Standard Model's su(3)⊕su(2)⊕u(1) internal symmetries within the triality symmetries tri(C)⊕tri(H)⊕tri(O). From here, the corresponding Standard Model group action is applied to the triality triple (Ψ+,Ψ−,V) for Ψ+,Ψ−,V∈C⊗H⊗O. Together, Ψ+
N. Furey, M.J. Hughes
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ON CLASSIFICATION OF YANGIAN IRREDUCIBLE REPRESENTATIONS OF LIE SUPERALGEBRA SL (1, 2)

Advanced Engineering Research, 2011
The classification of Yangian irreducible finite-dimensional representations of Lie superalgebra sl(1,2) – Hopf superalgebra is obtained. The classification is of great use in modern theoretical and mathematical physics.
Vladimir A. Stukopin
doaj