TY - JOUR
T1 - Explicit Capelli identities for skew symmetric matrices
AU - Kinoshita, Kenji
AU - Wakayama, Masato
N1 - Funding Information:
Acknowledgements. The authors express their thanks to Hiroyuki Ochiai for making them aware of a gap in the proof of the main theorem in the first draft of the paper and Roger Howe for his helpful comments. M.W. was partly supported by grant-in-aid for Scientific Research (B) no. 09440022, from the Ministry of Education, Science and Culture of Japan.
Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2002
Y1 - 2002
N2 - The main purpose of this paper is to obtain an explicit Capelli identity relating skew-symmetric matrices under the action of the general linear group GLN. In particular, we give an explicit formula for the skew Capelli element in terms of the trace of powers of a matrix defined by the standard infinitesimal generators of GLN.
AB - The main purpose of this paper is to obtain an explicit Capelli identity relating skew-symmetric matrices under the action of the general linear group GLN. In particular, we give an explicit formula for the skew Capelli element in terms of the trace of powers of a matrix defined by the standard infinitesimal generators of GLN.
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U2 - 10.1017/S0013091500001176
DO - 10.1017/S0013091500001176
M3 - Article
AN - SCOPUS:0036307283
VL - 45
SP - 449
EP - 465
JO - Proceedings of the Edinburgh Mathematical Society
JF - Proceedings of the Edinburgh Mathematical Society
SN - 0013-0915
IS - 2
ER -