A GENERALIZATION OF THE BETA INTEGRAL ARISING FROM THE KNIZHNIK-ZAMOLODCHIKOV EQUATION FOR THE VECTOR REPRESENTATIONS OF TYPES $ B_n $, $ C_n $, AND $ D_n $ - Collections

＜departmental bulletin paper＞
A GENERALIZATION OF THE BETA INTEGRAL ARISING FROM THE KNIZHNIK-ZAMOLODCHIKOV EQUATION FOR THE VECTOR REPRESENTATIONS OF TYPES $ B_n $, $ C_n $, AND $ D_n $

Creator	Author PID L001028 Creator Name Mimachi, Katsuhisa 三町, 勝久 Affiliation Affiliation Name Department of Mathematics, Tokyo Institute of Technology 東京工業大学数学科
Creator	Author PID L005045 Creator Name Takamuki, Takashi 高向, 崇 Affiliation Affiliation Name Graduate School of Mathematics, Kyushu Univeristy 九州大学大学院数理学研究院
Language	English
Publisher	Faculty of Mathematics, Kyushu University
Publisher	九州大学大学院数理学研究院
Date	2005-03
Source Title	Kyushu Journal of Mathematics
Vol	59
Issue	1
First Page	117
Last Page	126
Publication Type	Version of Record
Access Rights	restricted access
Related DOI	isIdenticalTo https://doi.org/10.2206/kyushujm.59.117
Related DOI	Kyushu Journal of Mathematics \|\| 59(1) \|\| p117-126
Related DOI	http://www2.math.kyushu-u.ac.jp/~kjm/
Related URI	Kyushu Journal of Mathematics \|\| 59(1) \|\| p117-126
Related URI	http://www2.math.kyushu-u.ac.jp/~kjm/
Related URI
Related HDL
Relation	Kyushu Journal of Mathematics \|\| 59(1) \|\| p117-126
Relation	http://www2.math.kyushu-u.ac.jp/~kjm/
Abstract	We evaluate the integral appearing in the solution of the KnizhnikZamolodchikov equation associated with the vector representation of the simple Lie algebra $ mathfrak{g} $ of type $ B_n, C_n $ or $ D..._n $. This integral, which can be considered as a generalization of the Beta integral, is expressed in terms of an alternating product of the Gamma function.show more

Record ID	11723
Peer-Reviewed	Refereed
Subject Terms	Beta integral
	Knizhnik-Zamolodchikov equation
	Selberg integral
ISSN	1340-6116
DOI	10.2206/kyushujm.59.117
NCID	AA10994346
Type	紀要論文
Created Date	2009.09.25
Modified Date	2024.01.10