The geometry of spinors and the multicomponent BKP and DKP hierarchies

Abstract

We develop a formalism of multicomponent BKP hierarchies using elementary geometry of spinors. The multicomponent KP and the modified KP hierarchy (hence all their reductions like KdV, NLS, AKNS or DS) are reductions of the multicomponent BKP.

46 pages, Latex2e

References in corpus (1)

• The $W_{1+\infty }(g{l}_s)$--symmetries of the $S$--component KP hierarchy

Cited by in corpus (5)

• Gauge transformation and symmetries of the commutative multi-component BKP hierarchy
• Polynomial tau-functions of BKP and DKP hierarchies
• Bilinear expansions of lattices of KP $\tau$-functions in BKP $\tau$-functions: a fermionic approach
• Bilinear expansion of Schur functions in Schur $Q$-functions: a fermionic approach
• Enumeration of non-oriented maps via integrability