The Experts below are selected from a list of 318 Experts worldwide ranked by ideXlab platform
Joydip Jana - One of the best experts on this subject based on the ideXlab platform.
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on the schwartz space Isomorphism Theorem for the riemannian symmetric spaces
arXiv: Representation Theory, 2010Co-Authors: Joydip JanaAbstract:We deduce a proof of the Isomorphism Theorem for certain closed subspace $\mc S^p_\Gamma(X)$ of the $L^p$-Schwartz class functions $(0< p \leq 2) $ on a Riemannian symmetric space $X$ where $\Gamma$ is a finite subset of $\what{K}_M$. The Fourier transform considered is the Helgason Fourier transform. Our proof relies only on the Paley-Wiener Theorem for the corresponding class of functions and hence it does not use the complicated higher asymptotics of the elementary spherical functions.
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on the schwartz space Isomorphism Theorem for rank one symmetric space
arXiv: Representation Theory, 2007Co-Authors: Joydip Jana, Rudra P SarkarAbstract:In this paper we give a simpler proof of the $L^p$-Schwartz space Isomorphism $(0< p\leq 2)$ under the Fourier transform for the class of functions of left $\delta$-type on a Riemannian symmetric space of rank one. Our treatment rests on Anker's \cite{A} proof of the corresponding result in the case of left $K$-invariant functions on $X$. Thus we give a proof which relies only on the Paley--Wiener Theorem.
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on the schwartz space Isomorphism Theorem for rank one symmetric space
Proceedings Mathematical Sciences, 2007Co-Authors: Joydip Jana, Rudra P SarkarAbstract:In this paper we give a simpler proof of the Lp-Schwartz space Isomorphism (0 < p ≤ 2) under the Fourier transform for the class of functions of left δ-type on a Riemannian symmetric space of rank one. Our treatment rests on Anker’s [2] proof of the corresponding result in the case of left K-invariant functions on X. Thus we give a proof which relies only on the Paley-Wiener Theorem.
Rudra P Sarkar - One of the best experts on this subject based on the ideXlab platform.
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on the schwartz space Isomorphism Theorem for rank one symmetric space
arXiv: Representation Theory, 2007Co-Authors: Joydip Jana, Rudra P SarkarAbstract:In this paper we give a simpler proof of the $L^p$-Schwartz space Isomorphism $(0< p\leq 2)$ under the Fourier transform for the class of functions of left $\delta$-type on a Riemannian symmetric space of rank one. Our treatment rests on Anker's \cite{A} proof of the corresponding result in the case of left $K$-invariant functions on $X$. Thus we give a proof which relies only on the Paley--Wiener Theorem.
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on the schwartz space Isomorphism Theorem for rank one symmetric space
Proceedings Mathematical Sciences, 2007Co-Authors: Joydip Jana, Rudra P SarkarAbstract:In this paper we give a simpler proof of the Lp-Schwartz space Isomorphism (0 < p ≤ 2) under the Fourier transform for the class of functions of left δ-type on a Riemannian symmetric space of rank one. Our treatment rests on Anker’s [2] proof of the corresponding result in the case of left K-invariant functions on X. Thus we give a proof which relies only on the Paley-Wiener Theorem.
Poulain L Dandecy - One of the best experts on this subject based on the ideXlab platform.
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an Isomorphism Theorem for yokonuma hecke algebras and applications to link invariants
Mathematische Zeitschrift, 2016Co-Authors: Nicolas Jacon, Poulain L DandecyAbstract:We develop several applications of the fact that the Yokonuma–Hecke algebra of the general linear group GL is isomorphic to a direct sum of matrix algebras associated to Iwahori–Hecke algebras of type A . This includes a description of the semisimple and modular representation theory of the Yokonuma–Hecke algebras of GL and a complete classification of all the Markov traces for them. Finally, from these Markov traces, we construct 3-variables polynomials which are invariants for framed and classical knots and links, and investigate their properties with the help of the Isomorphism. In particular, for classical knots, a consequence of the construction is that the obtained set of invariants is topologically equivalent to the HOMFLYPT polynomial. We thus recover results of Chlouveraki et al. (2015, arXiv:1505.06666) about the Juyumaya–Lambropoulou invariants.
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an Isomorphism Theorem for yokonuma hecke algebras and applications to link invariants
arXiv: Representation Theory, 2015Co-Authors: Nicolas Jacon, Poulain L DandecyAbstract:We develop several applications of the fact that the Yokonuma--Hecke algebra of the general linear group GL is isomorphic to a direct sum of matrix algebras associated to Iwahori--Hecke algebras of type A. This includes a description of the semisimple and modular representation theory of the Yokonuma--Hecke algebras of GL and a complete classification of all the Markov traces for them. Finally, from these Markov traces, we construct 3-variables polynomials which are invariants for framed and classical knots and links, and investigate their properties with the help of the Isomorphism.
Katrina Barron - One of the best experts on this subject based on the ideXlab platform.
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the notion of n 1 supergeometric vertex operator superalgebra and the Isomorphism Theorem
Communications in Contemporary Mathematics, 2003Co-Authors: Katrina BarronAbstract:We introduce the notion of N=1supergeometric vertex operator superalgebra motivated by the geometry underlying genus-zero, two-dimensional, holomorphic N=1 superconformal field theory. We then show, assuming the convergence of certain projective factors, that the category of such objects is isomorphic to the category of N=1 Neveu–Schwarz vertex operator superalgebras.
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the notion of n 1 supergeometric vertex operator superalgebra and the Isomorphism Theorem
arXiv: Quantum Algebra, 2003Co-Authors: Katrina BarronAbstract:We introduce the notion of N=1 supergeometric vertex operator superalgebra motivated by the worldsheet geometry underlying genus-zero, two-dimensional, holomorphic N=1 superconformal field theory. We then show, assuming the convergence of certain projective factors, that the category of such objects is isomorphic to the category of N=1 Neveu-Schwarz vertex operator superalgebras.
Nicolas Jacon - One of the best experts on this subject based on the ideXlab platform.
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an Isomorphism Theorem for yokonuma hecke algebras and applications to link invariants
Mathematische Zeitschrift, 2016Co-Authors: Nicolas Jacon, Poulain L DandecyAbstract:We develop several applications of the fact that the Yokonuma–Hecke algebra of the general linear group GL is isomorphic to a direct sum of matrix algebras associated to Iwahori–Hecke algebras of type A . This includes a description of the semisimple and modular representation theory of the Yokonuma–Hecke algebras of GL and a complete classification of all the Markov traces for them. Finally, from these Markov traces, we construct 3-variables polynomials which are invariants for framed and classical knots and links, and investigate their properties with the help of the Isomorphism. In particular, for classical knots, a consequence of the construction is that the obtained set of invariants is topologically equivalent to the HOMFLYPT polynomial. We thus recover results of Chlouveraki et al. (2015, arXiv:1505.06666) about the Juyumaya–Lambropoulou invariants.
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an Isomorphism Theorem for yokonuma hecke algebras and applications to link invariants
arXiv: Representation Theory, 2015Co-Authors: Nicolas Jacon, Poulain L DandecyAbstract:We develop several applications of the fact that the Yokonuma--Hecke algebra of the general linear group GL is isomorphic to a direct sum of matrix algebras associated to Iwahori--Hecke algebras of type A. This includes a description of the semisimple and modular representation theory of the Yokonuma--Hecke algebras of GL and a complete classification of all the Markov traces for them. Finally, from these Markov traces, we construct 3-variables polynomials which are invariants for framed and classical knots and links, and investigate their properties with the help of the Isomorphism.
