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 1 - 10 / 691234567 1.The Terwilliger algebra of a distance-regular graph of negative typeŠtefko Miklavič, 2009, original scientific articleAbstract: Let ▫$\Gamma$▫ denote a distance-regular graph with diameter ▫$D \ge 3$▫. Assume ▫$\Gamma$▫ has classical parameters ▫$(D,b,\alpha,\beta)▫$ with ▫$b < -1$▫. Let ▫$X$▫ denote the vertex set of ▫$\Gamma$▫ and let ▫$A \in {\mathrm{Mat}}_X(\mathbb{C})$▫ denote the adjacency matrix of ▫$\Gamma$▫. Fix ▫$x \in X$▫ and let $A^\ast \in {\mathrm{Mat}}_X(\mathbb{C})$ denote the corresponding dual adjacency matrix. Let ▫$T$▫ denote the subalgebra of ${\mathrm{Mat}}_X(\mathbb{C})$ generated by ▫$A,A^\ast$▫. We call ▫$T$▫ the Terwilliger algebra of ▫$\Gamma$▫ with respect to ▫$x$▫. We show that up to isomorphism there exist exactly two irreducible ▫$T$▫-modules with endpoint 1; their dimensions are ▫$D$▫ and ▫$2D-2$▫. For these ▫$T$▫-modules we display a basis consisting of eigenvectors for ▫$A^\ast$▫, and for each basis we give the action of ▫$A$▫.Found in: ključnih besedahSummary of found: Zadetek v naslovuKeywords: distance-regular graph, negative type, Terwilliger algebraPublished: 15.10.2013; Views: 1660; Downloads: 75 Full text (0,00 KB) 2.Ji, Guoxing; Wu, Baowei: Similarity preserving linear maps on upper triangular matrix algebras. (English). - [J] Linear Algebra Appl. 414, No. 1, 278-287 (2006). [ISSN 0024-3795]Bojan Kuzma, 2006, review, book review, critiqueFound in: ključnih besedahSummary of found: Zadetek v naslovuKeywords: matematika, linearna algebra, ohranjevalci podobnosti, zgornje trikotne matrikePublished: 15.10.2013; Views: 1354; Downloads: 16 Full text (0,00 KB) 3.Zhang, Xian: Linear preservers of rank-sum-maximum, rank, rank-subtractivity, and rank-sum-minimum on symmetric matrices. (English). - [J] Linear Multilinear Algebra 53, No. 3, 153-165 (2005). [ISSN 0308-1087; ISSN 1563-5139]Bojan Kuzma, 2006, review, book review, critiqueFound in: ključnih besedahSummary of found: Zadetek v naslovuKeywords: matematika, linearna algebra, rang, linearni ohranjevalec, simetrične matrikePublished: 15.10.2013; Views: 1756; Downloads: 15 Full text (0,00 KB) 4.Hartwig, Brian: Three mutually adjacent Leonard pairs. (English). - [J] Linear Algebra Appl. 408, 19-39 (2005). [ISSN 0024-3795]Bojan Kuzma, 2006, review, book review, critiqueFound in: ključnih besedahSummary of found: Zadetek v naslovuKeywords: matematika, linearna algebra, linearne transformacije, Leonardov parPublished: 15.10.2013; Views: 1829; Downloads: 9 Full text (0,00 KB) 5.The Hyers-Ulam-Rassias stability of (m,n)[sub]{([sigma], [tau])}-derivations on normed algebrasAjda Fošner, 2012, original scientific articleAbstract: We study the Hyers-Ulam-Rassias stability of ▫$(m,n)_{(\sigma,\tau)}$▫-derivations on normed algebras.Found in: ključnih besedahSummary of found: ...Hyers-Ulam-Rassias stability, normed algebra, ▫$(m,n)_{(\sigma,\tau)}$▫-derivation... Keywords: Hyers-Ulam-Rassias stability, normed algebra, ▫$(m, n)_{(\sigma, \tau)}$▫-derivationPublished: 15.10.2013; Views: 1247; Downloads: 15 Full text (0,00 KB) 6.Chebotar, Mikhail A.; Fong, Yuen; Lee, Pjek-Hwee: On maps preserving zeros of the polynomial $xy - yx^ast$. (English). - [J] Linear Algebra Appl. 408, 230-243(2005). [ISSN 0024-3795]Bojan Kuzma, 2006, review, book review, critiqueFound in: ključnih besedahSummary of found: Zadetek v naslovuKeywords: matematika, linearna algebra, linearni ohranjevalci, funkcijske identitete, matrična algebraPublished: 15.10.2013; Views: 1181; Downloads: 9 Full text (0,00 KB) 7.Rank-permutable additive mappingsAnna A. Alieva, Aleksandr Èmilevič Guterman, Bojan Kuzma, 2006, original scientific articleAbstract: Let ▫$\sigma$▫ be a fixed non-identical permutation on ▫$k$▫ elements. Additive bijections ▫$T$▫ on the matrix algebra ▫$M_n(\mathbb{F})$▫ over a field ▫$\mathbb{F}$▫ of characteristic zero, with the property that ▫$\rm{rk} (A_1...A_k) = \rm{rk} (A_{\sigma(1)}...A_{\sigma(k)})$▫ implies the same condition on the ▫$T$▫ images, are characterized. It is also shown that the surjectivity assumption can be relaxed, if this property is preserved in both directions.Found in: ključnih besedahSummary of found: ...elements. Additive bijections ▫$T$▫ on the matrix algebra ▫$M_n(\mathbb{F})$▫ over a field ▫$\mathbb{F}$▫ of characteristic... Keywords: mathematics, linearna algebra, matrix algebra, rank, permutation, additive preserversPublished: 15.10.2013; Views: 1423; Downloads: 51 Full text (0,00 KB) 8.Nekaj rezultatov v teoriji superalgeberMaja Fošner, Ajda Fošner, 2011, scientific monographFound in: ključnih besedahSummary of found: ...matematika, algebra, ... Keywords: matematika, algebraPublished: 15.10.2013; Views: 1853; Downloads: 26 Full text (0,00 KB)This document has more files! More... 9.Fosner, Ajda; Šemrl, Peter: Additive maps on matrix algebras preserving invertibility. (English). - [J] Acta Math. Sin., Engl. Ser. 21, No. 4, 681-684 (2005). [ISSN 1439-8516; ISSN 1439-7617]Bojan Kuzma, 2006, review, book review, critiqueFound in: ključnih besedahSummary of found: ...matematika, linearna algebra, aditivna preslikava, ohranjevalec obrnljivosti, ohranjevalec singularnosti, mat... Keywords: matematika, linearna algebra, aditivna preslikava, ohranjevalec obrnljivosti, ohranjevalec singularnosti, matrična algebraPublished: 15.10.2013; Views: 1261; Downloads: 19 Full text (0,00 KB) 10.Zhang, Xian; Sze, Nung-Sing: Additive rank-one preservers between spaces of rectangular matrices. (English). - [J] Linear Multilinear Algebra 53, No. 6, 417-425 (2005). [ISSN 0308-1087; ISSN 1563-5139]Bojan Kuzma, 2006, review, book review, critiqueFound in: ključnih besedahSummary of found: Zadetek v naslovuKeywords: matematika, linearna algebra, prostor matrik, rank 1, aditivni ohranjevalecPublished: 15.10.2013; Views: 1459; Downloads: 18 Full text (0,00 KB)
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