Results 61 to 70 of about 140,027 (183)
Connections with Irreducible Holonomy Representations
Advances in Mathematics, 2001 A subgroup of a linear group is called a Berger group if it satisfies all algebraic conditions for being the holonomy group of a torsion free affine connection. These conditions were introduced by Berger who also produced the list of such groups. Famous problems of differential geometry were to establish which groups from this list are realized by the ...
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Kronecker coefficients: the tensor square conjecture and unimodality [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 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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Irreducible representations of the rational Cherednik algebra associated to the Coxeter group H_3 [PDF]
, 2010 This paper describes irreducible representations in category O of the rational Cherednik algebra H_c(H_3,h) associated to the exceptional Coxeter group H_3 and any complex parameter c. We compute the characters of all these representations explicitly. As
Balagovic, Martina, Puranik, Arjun
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IRREDUCIBLE '-REPRESENTATIONS ON BANACH '-ALGEBRAS
Demonstratio Mathematica, 1999 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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Forum of Mathematics, Sigma, 2014 We prove a simple level-raising result for regular algebraic, conjugate self-dual automorphic forms on $\mathrm{GL}_n$ .
JACK A. THORNE
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Dual pair correspondence in physics: oscillator realizations and representations
Journal of High Energy Physics, 2020 We study general aspects of the reductive dual pair correspondence, also known as Howe duality. We make an explicit and systematic treatment, where we first derive the oscillator realizations of all irreducible dual pairs: (GL(M, ℝ), GL(N, ℝ)), (GL(M, ℂ),
Thomas Basile +3 more
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The Howe duality and the Projective Representations of Symmetric Groups
, 1998 The symmetric group S_n possesses a nontrivial central extension, whose irreducible representations, different from the irreducible representations of S_n itself, coincide with the irreducible representations of a certain algebra A_n. Recently M.~Nazarov
Sergeev, Alexander
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From tunnels to towers: Quantum scars from Lie algebras and q-deformed Lie algebras
Physical Review Research, 2020 We present a general symmetry-based framework for obtaining many-body Hamiltonians with scarred eigenstates that do not obey the eigenstate thermalization hypothesis.
Nicholas O'Dea +3 more
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Irreducible representations of Yangians
Journal of Algebra, 2011 We give explicit realizations of irreducible representations of the Yangian of the general linear Lie algebra and of its twisted analogues, corresponding to symplectic and orthogonal Lie algebras. In particular, we develop the fusion procedure for twisted Yangians. For the non-twisted Yangian, this procedure goes back to the works of Cherednik.
Sergey Khoroshkin +2 more
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