Results 41 to 50 of about 3,438 (167)
Tensor products of irreducible projective integer 2-adic representatione of cyclic 2-group
The paper deals with a subalgebra of the algebra of projective integer 2-adic images of a cyclic 2-group, generated by irreducible projective integers of 2-adic representations.
В. Ф. Баранник
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Irreducible constituents of monomial representations
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Irreducible representations of E theory [PDF]
We construct the [Formula: see text] theory analogue of the particles that transform under the Poincaré group, that is, the irreducible representations of the semi-direct product of the Cartan involution subalgebra of [Formula: see text] with its vector representation. We show that one such irreducible representation has only the degrees of freedom of
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The H-polynomial of an irreducible representation
Associated with the finite-dimensional rational representation \(\rho\colon G\to\text{End}(V)\) of a simple algebraic group \(G\) over an algebraically closed field \(K\) there is the monoid \(M_\rho:=\overline{K^*\rho(G)}\subseteq\text{End}(V)\) and projective \(G\times G\)-embedding \(\mathbb P_\rho=[M_\rho\setminus\{0\}]/K^*\).
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More varieties of 4-d gauge theories: product representations
Recently, we used methods of arithmetic geometry to study the anomaly-free irreducible representations of an arbitrary gauge Lie algebra. Here we generalize to the case of products of irreducible representations, where it is again possible to give a ...
Ben Gripaios, Khoi Le Nguyen Nguyen
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Orthogonal bases in specific generalized symmetry classes of tensors [PDF]
Let $V$ be a unitary vector space. Suppose $G$ is a permutation group of degree $m$ and $\Lambda$ is an irreducible unitary representation of $G$. We denote by $V_{\Lambda}(G)$ the generalized symmetry class of tensors associated with $G$ and $\Lambda ...
Gholamreza Rafatneshan, Yousef Zamani
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Kronecker coefficients: the tensor square conjecture and unimodality [PDF]
We consider two aspects of Kronecker coefficients in the directions of representation theory and combinatorics. We consider a conjecture of Jan Saxl stating that the tensor square of the $S_n$-irreducible representation indexed by the staircase partition
Igor Pak, Greta Panova, Ernesto Vallejo
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Permutation representations and rational irreducibility [PDF]
The natural character π of a finite transitive permutation group G has the form 1G + θ where θ is a character which affords a rational representation of G. We call G a QI-group if this representation is irreducible over ℚ. Every 2-transitive group is a QI-group, but the latter class of groups is larger.
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The degree of the discriminant of irreducible representations
We present a formula for the degree of the discriminant of irreducible representations of a Lie group, in terms of the roots of the group and the highest weight of the representation. The proof uses equivariant cohomology techniques, namely, the theory of Thom polynomials, and a new method for their computation.
Fehér, L. M. +2 more
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IRREDUCIBLE '-REPRESENTATIONS ON BANACH '-ALGEBRAS
Let \(A\) be a complex Banach \(*\)-algebra and, for \(a\in A\), \(g(a)\) the supremum of \(\eta(a)\) over all \(B^*\)-seminorms \(\eta\) on \(A\). A linear functional \(f\) on \(A\) is \(g\)-bounded iff \(|f|_g= \sup\{f(a):g(a)\leq 1\}\) is finite; \(D(g)\) is the set of \(g\)-bounded functionals with \(|f|_g\leq 1\).
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