Symmetric polynomials of algebras related with 2 x 2 generic traceless matrices
| dc.contributor.author | Findik, Sehmus | |
| dc.contributor.author | Kelekci, Osman | |
| dc.date.accessioned | 2024-11-07T13:32:35Z | |
| dc.date.available | 2024-11-07T13:32:35Z | |
| dc.date.issued | 2021 | |
| dc.department | Niğde Ömer Halisdemir Üniversitesi | |
| dc.description.abstract | Let X and Y be two generic traceless matrices of size 2 x 2 with entries from a commutative associative polynomial algebra over a field K of characteristic zero. Consider the associative unitary algebra W, and its Lie subalgebra L generated by X and Y over the field K. It is well known that the center C(W) = K[t,u,v] of W is the polynomial algebra generated by the algebraically independent commuting elements t = tr(X-2)I-2, u = tr(Y-2)I-2, v = tr(XY)I-2. We call a polynomial p is an element of W symmetric, if p(X,Y ) = p(Y,X). The set of symmetric polynomials is equal to the algebra W-S2 of invariants of symmetric group S-2. Similarly, we define the Lie algebra L-S2 of symmetric polynomials in the Lie algebra L. We give the description of the algebras W-S2 and L-S2, and we provide finite sets of free generators for W-S2, and [L,L](S2) as K[t + u,tu,v]-modules. | |
| dc.identifier.doi | 10.1142/S0218196721500521 | |
| dc.identifier.endpage | 1442 | |
| dc.identifier.issn | 0218-1967 | |
| dc.identifier.issn | 1793-6500 | |
| dc.identifier.issue | 7 | |
| dc.identifier.scopus | 2-s2.0-85108980345 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 1433 | |
| dc.identifier.uri | https://doi.org/10.1142/S0218196721500521 | |
| dc.identifier.uri | https://hdl.handle.net/11480/15497 | |
| dc.identifier.volume | 31 | |
| dc.identifier.wos | WOS:000717064200007 | |
| dc.identifier.wosquality | Q3 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | World Scientific Publ Co Pte Ltd | |
| dc.relation.ispartof | International Journal of Algebra and Computation | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_20241106 | |
| dc.subject | Lie algebras | |
| dc.subject | symmetric polynomials | |
| dc.subject | generic matrices | |
| dc.title | Symmetric polynomials of algebras related with 2 x 2 generic traceless matrices | |
| dc.type | Article |
