Zobrazeno 1 - 10
of 209
pro vyhledávání: '"Frenkel, Igor"'
Autor:
Frenkel, Igor, Libine, Matvei
We study a new class of functions that arise naturally in quaternionic analysis, we call them "quasi regular functions". Like the well-known quaternionic regular functions, these functions provide representations of the quaternionic conformal group.
Externí odkaz:
http://arxiv.org/abs/2402.07073
Autor:
Frenkel, Igor B., Kim, Hyun Kyu
We present a three-dimensional geometric construction of the Virasoro-Bott group, which is a central extension of the group of diffeomorphisms of the circle. Our approach is analogous to the well-known construction of a central extension of the loop
Externí odkaz:
http://arxiv.org/abs/2107.11693
Autor:
Frenkel, Igor, Penner, Robert
We review and reformulate old and prove new results about the triad $ {\rm PPSL}_2({\mathbb Z})\subseteq{\rm PPSL}_2({\mathbb R})\circlearrowright ppsl_2({\mathbb R}) $, which provides a universal generalization of the classical automorphic triad ${\
Externí odkaz:
http://arxiv.org/abs/2012.14220
Autor:
Frenkel, Igor, Libine, Matvei
In this paper we study left and right n-regular functions that originally were introduced in [FL4]. When n=1, these functions are the usual quaternionic left and right regular functions. We show that n-regular functions satisfy most of the properties
Externí odkaz:
http://arxiv.org/abs/2011.14188
Autor:
Frenkel, Igor, Libine, Matvei
We develop further quaternionic analysis introducing left and right doubly regular functions. We derive Cauchy-Fueter type formulas for these doubly regular functions that can be regarded as another counterpart of Cauchy's integral formula for the se
Externí odkaz:
http://arxiv.org/abs/1907.01594
Autor:
K. Urban, U. Krey, J. Audretsch, Helmut Rechenberg, C.-D. Schönwiese, G. Hellbardt, J. Meyer, P. Heitjans, W. Mückenheim
Publikováno v:
Physik Journal. 48:953-956
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::85dce75078f69212d157da1781fd4deb
https://doi.org/10.1002/phbl.19920481125
https://doi.org/10.1002/phbl.19920481125
In recent years different aspects of categorification of the boson-fermion correspondence have been studied. In this paper we propose a categorification of the boson-fermion correspondence based on the category of tensor modules of the Lie algebra $s
Externí odkaz:
http://arxiv.org/abs/1405.7553
Autor:
Frenkel, Igor, Libine, Matvei
This is a continuation of a series of papers [FL1, FL2, FL3], where we develop quaternionic analysis from the point of view of representation theory of the conformal Lie group and its Lie algebra. In this paper we continue to study the quaternionic a
Externí odkaz:
http://arxiv.org/abs/1404.7098
Autor:
Frenkel, Igor B., Zeitlin, Anton M.
Publikováno v:
Commun.Math.Phys. 326 (2014) 145-165
We construct the representations of affine sl(2,R) starting from the unitary representations of the loop ax+b-group. Our approach involves a combinatorial analysis of the correlation functions of the generators and renormalization of the appearing di
Externí odkaz:
http://arxiv.org/abs/1210.2135
Autor:
Frenkel, Igor B., Ip, Ivan C. H.
We construct a special principal series representation for the modular double $U_{q\tilde{q}}(g_R)$ of type $A_r$ representing the generators by positive essentially self-adjoint operators satisfying the transcendental relations that also relate $q$
Externí odkaz:
http://arxiv.org/abs/1111.1033