Noncommutative determinants, Cauchy-Binet formulae, and Capelli-type identities. I: Generalizations of the Capelli and Turnbull identities.
Caracciolo, Sergio; Sokal, Alan D.; Sportiello, Andrea
The Electronic Journal of Combinatorics [electronic only] (2009)
- Volume: 16, Issue: 1, page Research Paper R103, 43 p.-Research Paper R103, 43 p.
- ISSN: 1077-8926
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topCaracciolo, Sergio, Sokal, Alan D., and Sportiello, Andrea. "Noncommutative determinants, Cauchy-Binet formulae, and Capelli-type identities. I: Generalizations of the Capelli and Turnbull identities.." The Electronic Journal of Combinatorics [electronic only] 16.1 (2009): Research Paper R103, 43 p.-Research Paper R103, 43 p.. <http://eudml.org/doc/222863>.
@article{Caracciolo2009,
author = {Caracciolo, Sergio, Sokal, Alan D., Sportiello, Andrea},
journal = {The Electronic Journal of Combinatorics [electronic only]},
keywords = {determinant; noncommutative determinant; row-determinant; column-determinant; Cauchy-Binet theorem; permanent; noncommutative ring; Capelli identity; Turnbull identity; Cayley identity; classical invariant theory; representation theory; Weyl algebra; right-quantum matrix; Cartier-Foata matrix; Manin matrix; Howe-Umeda-Kostant-Sahi identity},
language = {eng},
number = {1},
pages = {Research Paper R103, 43 p.-Research Paper R103, 43 p.},
publisher = {Prof. André Kündgen, Deptartment of Mathematics, California State University San Marcos, San Marcos},
title = {Noncommutative determinants, Cauchy-Binet formulae, and Capelli-type identities. I: Generalizations of the Capelli and Turnbull identities.},
url = {http://eudml.org/doc/222863},
volume = {16},
year = {2009},
}
TY - JOUR
AU - Caracciolo, Sergio
AU - Sokal, Alan D.
AU - Sportiello, Andrea
TI - Noncommutative determinants, Cauchy-Binet formulae, and Capelli-type identities. I: Generalizations of the Capelli and Turnbull identities.
JO - The Electronic Journal of Combinatorics [electronic only]
PY - 2009
PB - Prof. André Kündgen, Deptartment of Mathematics, California State University San Marcos, San Marcos
VL - 16
IS - 1
SP - Research Paper R103, 43 p.
EP - Research Paper R103, 43 p.
LA - eng
KW - determinant; noncommutative determinant; row-determinant; column-determinant; Cauchy-Binet theorem; permanent; noncommutative ring; Capelli identity; Turnbull identity; Cayley identity; classical invariant theory; representation theory; Weyl algebra; right-quantum matrix; Cartier-Foata matrix; Manin matrix; Howe-Umeda-Kostant-Sahi identity
UR - http://eudml.org/doc/222863
ER -
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