TRACE IDENTITIES FOR MATRICES WITH THE TRANSPOSE INVOLUTION

Autor(es)

Hill, Jordan Dale ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Math & Stat, BR-05508090 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN ALGEBRA; v. 41, n. 7, p. 2698-2719, MAY 28 2013.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 10/51879-4 - Polynomial - identities of matrizes
• Beneficiário: Jordan Dale Hill
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado