Semi-invariants of mixed representations of quivers |
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| Authors: | AA Lopatin AN Zubkov |
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| Institution: | (1) Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Pevtsova Street 13, Omsk 644099, Russia;(2) Chair of Geometry, Omsk State Pedagogical University, Tuhachevskogo Embankment 14, Omsk 644099, Russia |
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| Abstract: | A notion of a mixed representation of a quiver can be derived from ordinary quiver representation by considering the dual
action of groups on "vertex" vector spaces together with their usual action. A generating system for the algebra of semi-invariants
of mixed representations of a quiver is determined. This is done by reducing the problem to the case of bipartite quivers
of a special form and using a function DP on three matrices, which is a mixture of the determinant and two pfaffians. |
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