Additional symmetries of the dispersionless cKP hierarchy

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.

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The two bosonizations of the CKP hierarchy: Overview and character identities

Representations of Lie Algebras, Quantum Groups and Related Topics - Contemporary Mathematics ◽

10.1090/conm/713/14326 ◽

2018 ◽

pp. 1-34 ◽

Cited By ~ 2

Author(s):

Iana Anguelova

Keyword(s):

Ckp Hierarchy

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The gauge transformations of the constrained q-deformed modified KP hierarchy and their relations with the additional symmetries

Analysis and Mathematical Physics ◽

10.1007/s13324-020-00431-x ◽

2020 ◽

Vol 10 (4) ◽

Author(s):

Huizhan Chen ◽

Lumin Geng ◽

Na Li ◽

Jipeng Cheng

Keyword(s):

Kp Hierarchy ◽

Gauge Transformations ◽

Additional Symmetries

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Bianchi’s additional symmetries

Journal of Homotopy and Related Structures ◽

10.1007/s40062-020-00262-4 ◽

2020 ◽

Vol 15 (3-4) ◽

pp. 455-462

Author(s):

Alexander D. Rahm

Keyword(s):

Additional Symmetries

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Invariant Einstein Metrics on Some Homogeneous Spaces of Classical Lie Groups

Canadian Journal of Mathematics ◽

10.4153/cjm-2009-056-2 ◽

2009 ◽

Vol 61 (6) ◽

pp. 1201-1213 ◽

Cited By ~ 12

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.

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