capelli identity
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2017 ◽  
Vol 61 (2) ◽  
pp. 253-268 ◽  
Author(s):  
Naihuan Jing ◽  
Jian Zhang


Author(s):  
Siddhartha Sahi ◽  
Genkai Zhang




10.37236/192 ◽  
2009 ◽  
Vol 16 (1) ◽  
Author(s):  
Sergio Caracciolo ◽  
Alan D. Sokal ◽  
Andrea Sportiello

We prove, by simple manipulation of commutators, two noncommutative generalizations of the Cauchy–Binet formula for the determinant of a product. As special cases we obtain elementary proofs of the Capelli identity from classical invariant theory and of Turnbull's Capelli-type identities for symmetric and antisymmetric matrices.



2009 ◽  
pp. 383-398 ◽  
Author(s):  
E. Mukhin ◽  
V. Tarasov ◽  
A. Varchenko
Keyword(s):  


2002 ◽  
Vol 45 (2) ◽  
pp. 449-465 ◽  
Author(s):  
Kenji Kinoshita ◽  
Masato Wakayama

AbstractThe main purpose of this paper is to obtain an explicit Capelli identity relating skew-symmetric matrices under the action of the general linear group $GL_N$. 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 $GL_N$.AMS 2000 Mathematics subject classification: Primary 17B35. Secondary 17B10; 15A15; 20G05



2002 ◽  
Vol 55 ◽  
pp. 349-357 ◽  
Author(s):  
Bent Ørsted ◽  
Genkai Zhang


1995 ◽  
Vol 34 (1) ◽  
pp. 1-8 ◽  
Author(s):  
Masatoshi Noumi ◽  
T�ru Umeda ◽  
Masato Wakayama
Keyword(s):  


1994 ◽  
Vol 76 (2) ◽  
pp. 567-594 ◽  
Author(s):  
Masatoshi Noumi ◽  
T�ru Umeda ◽  
Masato Wakayama


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