Titlebook: Elliptic Quantum Groups; Representations and Hitoshi Konno Book 2020 Springer Nature Singapore Pte Ltd. 2020 Elliptic quantum groups.Verte

有花

Elliptic Quantum Group ,,tion. In addition, following the quasi-Hopf formulation ., we introduce the ..-operator and show that the difference between the +? and the ? half currents gives the elliptic currents of .. Furthermore a connection to Felder’s formulation is shown by introducing the dynamical .-operators.

懸掛

The ,-Hopf-Algebroid Structure of ,,t certain shifts by . and . in . when they move from one tensor component to the other. These shifts produce the same effects as the dynamical shift in the DYBE and the dynamical .-relation. Hence the .-Hopf-algebroid structure provides a convenient co-algebra structure compatible with the dynamical shift. See Chaps. .–..

Mortar

Representations of ,,al., Comm. Math. Phys. ., 605–647 (1999); Kojima and Konno, Comm. Math. Phys. ., 405–447 (2003); Konno, SIGMA, ., Paper 091, 25 pages (2006); Farghly et al., Algebr. Represent. Theory ., 103–135 (2014)).

neurologist

寬敞

Related Geometry,n be identified with .. Based on this identification, we also show a correspondence between the Gelfand-Tsetlin basis (resp. the standard basis) of . in Chap. . and the fixed point classes (resp. the stable classes) in E.(.). This correspondence allows us to construct an action of . on E.(.).

Working-Memory

關(guān)心

groggy

Tensor Product Representation,s matrix from the standard basis to the Gelfand-Tsetlin basis is given by a specialization of the elliptic weight functions. The resultant action is expressed in a perfectly combinatorial way in terms of the partitions of [1, .]. In Chap. . we discuss a geometric interpretation of it.

極大的痛苦

cajole

William Weaver Jr.,James M. Gereal., Comm. Math. Phys. ., 605–647 (1999); Kojima and Konno, Comm. Math. Phys. ., 405–447 (2003); Konno, SIGMA, ., Paper 091, 25 pages (2006); Farghly et al., Algebr. Represent. Theory ., 103–135 (2014)).