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Title: Periodic Staircase Matrices and Generalized Cluster Structures
As is well known, cluster transformations in cluster structures of geometric type are often modeled on determinant identities, such as short Plücker relations, Desnanot– Jacobi identities, and their generalizations. We present a construction that plays a similar role in a description of generalized cluster transformations and discuss its applications to generalized cluster structures in GL_n compatible with a certain subclass of Belavin–Drinfeld Poisson–Lie brackets, in the Drinfeld double of GL_n, and in spaces of periodic difference operators.  more » « less
Award ID(s):
1702115
PAR ID:
10345557
Author(s) / Creator(s):
; ;
Date Published:
Journal Name:
International mathematics research notices
Volume:
2022
Issue:
6
ISSN:
1073-7928
Page Range / eLocation ID:
4181–4221
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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