Vesselin Stoyanov Drensky | Institute of Mathematics Bulgarian Academy of Sciences...
Identities for the algebra of matrices over a field of arbitrary characteristic
Polynomial identities of matrix algebra with additional structures
| Full text | |
| Author(s): |
Hill, Jordan Dale
[1]
Total Authors: 1
|
| Affiliation: | [1] Univ Sao Paulo, Inst Math & Stat, BR-05508090 Sao Paulo - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS IN ALGEBRA; v. 41, n. 7, p. 2698-2719, MAY 28 2013. |
| Web of Science Citations: | 0 |
| Abstract | |
Independently, Razmyslov and Procesi have shown that for a field F of characteristic 0 all trace PIs (and thus all PIs) for M-n(F) lie in the T-ideal generated by the characteristic polynomial. Procesi then proved that for (M-n, t), an algebra with (transpose) involution, all {*}-trace PIs lie in the {*}-T-ideal generated by a set of n+1 {*}-trace PIs. This result proved the existence of the n+1 {*}-trace PIs, but no explicit formulas. In this paper we further investigate these n+1 {*}-trace PIs by first constructing a closely related set of so-called pure-trace {*}-PIs and then giving examples and applications to illuminate our results. (AU) | |
| FAPESP's process: | 10/51879-4 - Polynomial - identities of matrizes |
| Grantee: | Jordan Dale Hill |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |