Name
Title | ||
|---|---|---|
Noncommutative determinants, Cauchy-Binet formulae, and Capelli-type identities. I. Generalizations of the Capelli and Turnbull identities |
Abstract | ||
|---|---|---|
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. |
Year | Venue | Keywords |
|---|---|---|
2009 | ELECTRONIC JOURNAL OF COMBINATORICS | column- determinant,row-determinant,weyl algebra,representation theory,cayley identity,cartier-foata matrix,manin matrix.,determinant,noncommutative ring,permanent,cauchy-binet theorem,right-quantum matrix,turnbull identity,capelli identity,classical invariant theory,noncommutative determinant,quantum algebra |
Field | DocType | Volume |
Invariant theory,Noncommutative geometry,Combinatorics,Algebra,Generalization,Matrix (mathematics),Antisymmetric relation,Pure mathematics,Cauchy distribution,Mathematical proof,Commutator (electric),Mathematics | Journal | 16.0 |
Issue | ISSN | Citations |
1.0 | 1077-8926 | 4 |
PageRank | References | Authors |
0.55 | 5 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sergio Caracciolo | 1 | 10 | 1.76 |
| Alan D. Sokal | 2 | 253 | 22.25 |
| Andrea Sportiello | 3 | 40 | 7.64 |