scholarly journals On the BKP Hierarchy: Additional Symmetries, Fay Identity and Adler–Shiota–van Moerbeke Formula

2007 ◽  
Vol 81 (2) ◽  
pp. 93-105 ◽  
Author(s):  
Ming-Hsien Tu
Keyword(s):  
Additional Symmetries ◽  
Bkp Hierarchy

The generalized additional symmetries of the two-Toda lattice hierarchy

2013 ◽  
Vol 54 (2) ◽  
pp. 023513 ◽  
Author(s):  
Jipeng Cheng ◽  
Ye Tian ◽  
Zhaowen Yan ◽  
Jingsong He
Keyword(s):  
Toda Lattice ◽  
Additional Symmetries ◽  
Toda Lattice Hierarchy

POISSON–LIE GROUPS AND CLASSICAL W-ALGEBRAS

1992 ◽  
Vol 07 (05) ◽  
pp. 853-876 ◽  
Author(s):  
V. A. FATEEV ◽  
S. L. LUKYANOV
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Quantum Group ◽  
Lie Groups ◽  
Group Structure ◽  
Two Dimensional ◽  
Poisson Structures ◽  
Additional Symmetries ◽  
Conformal Field ◽  
Poisson Lie Groups

This is the first part of a paper studying the quantum group structure of two-dimensional conformal field theory with additional symmetries. We discuss the properties of the Poisson structures possessing classical W-invariance. The Darboux variables for these Poisson structures are constructed.

scholarly journals Bianchi’s additional symmetries

2020 ◽  
Vol 15 (3-4) ◽  
pp. 455-462
Author(s):  
Alexander D. Rahm
Keyword(s):  
Additional Symmetries

Some results of the BKP hierarchy as the Kupershmidt reduction of the modified KP hierarchy

2020 ◽  
pp. 2050433
Author(s):  
Yi Yang ◽  
Xiaoli Wang ◽  
Jipeng Cheng
Keyword(s):  
Gauge Transformation ◽  
Wave Functions ◽  
Kp Hierarchy ◽  
Gauge Transformations ◽  
Bkp Hierarchy

In this paper, the BKP hierarchy is viewed as the Kupershmidt reduction of the modified KP hierarchy. Then based upon this fact, the gauge transformation of the BKP hierarchy are obtained again from the corresponding results of the modified KP hierarchy. Also the constrained BKP hierarchy is constructed from the constrained modified KP hierarchy, and the corresponding gauge transformations are investigated. Particularly, it is found that there is a new kind of gauge transformations generated by the wave functions in the constrained BKP hierarchy.

scholarly journals Invariant Einstein Metrics on Some Homogeneous Spaces of Classical Lie Groups

2009 ◽  
Vol 61 (6) ◽  
pp. 1201-1213 ◽  
Author(s):  
Andreas Arvanitoyeorgos ◽  
V. V. Dzhepko ◽  
Yu. G. Nikonorov
Keyword(s):  
Riemannian Manifold ◽  
Positive Integer ◽  
Lie Groups ◽  
Einstein Metrics ◽  
Homogeneous Spaces ◽  
Classical Groups ◽  
Stiefel Manifolds ◽  
Additional Symmetries

Abstract A Riemannian manifold (M, ρ) is called Einstein if the metric ρ satisfies the condition Ric(ρ) = c · ρ for some constant c. This paper is devoted to the investigation of G-invariant Einstein metrics, with additional symmetries, on some homogeneous spaces G/H of classical groups. As a consequence, we obtain new invariant Einstein metrics on some Stiefel manifolds SO(n)/SO(l). Furthermore, we show that for any positive integer p there exists a Stiefelmanifold SO(n)/SO(l) that admits at least p SO(n)-invariant Einstein metrics.

Additional symmetries for super KP hierarchies

1995 ◽  
Vol 87 (1-4) ◽  
pp. 105-108 ◽  
Author(s):  
Manuel Mañas ◽  
Luis Martínez Alonso ◽  
Elena Medina
Keyword(s):  
Additional Symmetries
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