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An inverse matrix formula in the right-quantum algebra [Elektronski vir]Konvalinka, MatjažDesno kvantno algebro so pred kratkim definirali Garoufalidis, Lê in Zeilberger v svoji kvantni posplošitvi MacMahonovega glavnega izreka o particijah. Bijektiven dokaz te identete Konvalinke in Paka ... in dokaz desno kvantne Sylvestrove determinantne identitete uporabljata bijekcijo, povezano s prvo fundamentalno transformacijo, ki jo je vpeljal Foata. V tem članku eksplicitno povežemo to transformacijo in linearnoalgebraične identitete v desno kvantni algebri. Predstavimo nov, bijektiven dokaz izreka o inverzu matrike v desno kvantni algebri, pokažemo, da s podobnimi tehnikami dokažemo Jacobijev izrek, in uporabimo formulo za inverz matrike za dokaz posplošitve desno kvantnega MacMahonovega glavnega izreka o particijah.Source: The Electronic journal of combinatorics [Elektronski vir]. - ISSN 1077-8926 (Vol. 15, no. 1, 2008, R23 (19 str.))Type of material - e-articlePublish date - 2008Language - englishCOBISS.SI-ID - 15545177
Author
Konvalinka, Matjaž
Topics
matematika |
formula za inverz matrike |
MacMahonov glavni izrek o particijah |
determinantna identiteta |
▫$q$▫-vrsta |
kvantna algebra |
bijekcija |
mathematics |
inverse formula |
MacMahon master theorem |
determinant identity |
▫$q$▫-series |
quantum algebra |
bijection
source: The Electronic journal of combinatorics [Elektronski vir]. - ISSN 1077-8926 (Vol. 15, no. 1, 2008, R23 (19 str.))
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Konvalinka, Matjaž | 22401 |
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