Kazufumi Kimoto

collaborators

3 papers

math.RT2007

Representation theory of the $α$ -determinant and zonal spherical functions

Kazufumi Kimoto

We prove that the multiplicity of each irreducible component in the $U (gl_{n})$ -cyclic module generated by the $l$ -th power $det^{(α)} (X)^{l}$ of the $α$ -determin…

math.NT2007

A variation of multiple $L$ -values arising from the spectral zeta function of the non-commutative harmonic oscillator

Kazufumi Kimoto, Yoshinori Yamasaki

A variation of multiple $L$ -values, which arises from the description of the special values of the spectral zeta function of the non-commutative harmonic oscillator, is introduced.…

math.RT2007

Alpha-determinant cyclic modules and Jacobi polynomials

Kazufumi Kimoto, Sho Matsumoto, Masato Wakayama

We study the cyclic $U (gl_{n})$ -module generated by the $l$ -th power of the $α$ -determinant. When $l$ is a non-negative integer, for all but finite exceptional values of $…

Representation theory of the α-determinant and zonal spherical functions

A variation of multiple L-values arising from the spectral zeta function of the non-commutative harmonic oscillator

Alpha-determinant cyclic modules and Jacobi polynomials

Representation theory of the $α$ -determinant and zonal spherical functions

A variation of multiple $L$ -values arising from the spectral zeta function of the non-commutative harmonic oscillator