Results 21 to 30 of about 2,227,858 (357)

q-deformation of corner vertex operator algebras by Miura transformation

Journal of High Energy Physics, 2021
Recently, Gaiotto and Rapcak proposed a generalization of W N algebra by considering the symmetry at the corner of the brane intersection (corner vertex operator algebra).
Koichi Harada, Yutaka Matsuo, Go Noshita, Akimi Watanabe   +3 more
doaj   +1 more source

BPS states meet generalized cohomology

Journal of High Energy Physics, 2023
In this note we review a construction of a BPS Hilbert space in an effective supersymmetric quiver theory with 4 supercharges. We argue abstractly that this space contains elements of an equivariant generalized cohomology theory E G ∗ − $$ {E}_G^{\ast ...
Dmitry Galakhov
doaj   +1 more source

Quantum differential operators on the quantum plane [PDF]

, 2002
The universal enveloping algebra U(g) of a Lie algebra g acts on its representation ring R through D(R), the ring of differential operators on R. A quantised universal enveloping algebra (or "quantum group") is a deformation of a universal enveloping ...
Iyer, Uma N., McCune, Timothy C.
core   +2 more sources

Gelfand Models for Diagram Algebras [PDF]

Discrete Mathematics & Theoretical Computer Science, 2013
A Gelfand model for a semisimple algebra $\mathsf{A}$ over $\mathbb{C}$ is a complex linear representation that contains each irreducible representation of $\mathsf{A}$ with multiplicity exactly one.
Tom Halverson
doaj   +1 more source

Conditional expectations, traces, angles between spaces and Representations of the Hecke algebras [PDF]

, 2013
In this paper we extend the results in [Ra] on the representation of the Hecke algebra, determined by the matrix coefficients of a projective, unitary representation, in the discrete series of representations of the ambient group, to a more general ...
Radulescu, Florin
core   +2 more sources

The two-boundary Temperley-Lieb algebra [PDF]

, 2007
We study a two-boundary extension of the Temperley-Lieb algebra which has recently arisen in statistical mechanics. This algebra lies in a quotient of the affine Hecke algebra of type C and has a natural diagrammatic representation. The algebra has three
Alexander Nichols, Baxter, Cao, de Gier, de Gier, de Gier, de Gier, de Gier, de Gier, Di Francesco, Di Francesco, Dipper, Dipper, Dipper, Dipper, Dixmier, Graham, Jan de Gier, Jones, Jones, Kager, Kauffman, Lusztig, Martin, Martin, Martin, Martin, Martin, Martin, Mitra, Nepomechie, Nepomechie, Nichols, Nichols, Nichols, Ram, Ram, Ram, Schramm, Sklyanin, Temperley, Westbury   +41 more
core   +4 more sources

On the algebraic representation of semicontinuity

Journal of Pure and Applied Algebra, 2007
AbstractThe concepts of upper and lower semicontinuity in pointfree topology were introduced and first studied by Li and Wang [Y.-M. Li, G.-J. Wang, Localic Katětov–Tong insertion theorem and localic Tietze extension theorem, Comment. Math. Univ. Carolin. 38 (1997) 801–814].
Gutiérrez García, J., Picado, Jorge
openaire   +3 more sources

Deformed Heisenberg algebra with reflection [PDF]

, 1997
A universality of deformed Heisenberg algebra involving the reflection operator is revealed. It is shown that in addition to the well-known infinite-dimensional representations related to parabosons, the algebra has also finite-dimensional ...
Arik, Banerjee, Beckers, Beckers, Biedenharn, Brink, Brink, Brzezinski, Chou, Cortés, de Crombrugghe, De Falco, Debergh, Filippov, Filippov, Fivel, Floreanini, Gerbert, Govorkov, Green, Greenberg, Greenberg, Greenberg, Greenberg, Kuryshkin, Macfarlane, Macfarlane, Macfarlane, Mikhail S. Plyushchay, Mohapatra, Ohnuki, Plyushchay, Plyushchay, Plyushchay, Plyushchay, Polychronakos, Polychronakos, Quesne, Roček, Rubakov, Scipioni, Scipioni, Scipioni, Volkov, Volkov, Wigner, Yang   +46 more
core   +2 more sources

Representations of multiloop algebras [PDF]

Pacific Journal of Mathematics, 2010
We describe the finite-dimensional simple modules of all the (twisted and untwisted) multiloop algebras and classify them up to isomorphism.
openaire   +3 more sources

Representations of logmodular algebras [PDF]

Transactions of the American Mathematical Society, 2010
We study the question of whether or not contractive representations of logmodular algebras are completely contractive. We prove that a 2-contractive representation of a logmodular algebra extends to a positive map on the enveloping C ∗ C^* -algebra, which we show generalizes a result of Foias and Suciu on uniform ...
Mrinal Raghupathi, Vern I. Paulsen
openaire   +3 more sources