广告
发表于 2025-3-26 22:39:29
https://doi.org/10.1007/978-1-4757-1382-4cls; differential equation; invariant; partial differential equation; combinatorics
使饥饿
发表于 2025-3-27 01:15:53
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向前变椭圆
发表于 2025-3-27 07:31:51
Affine Lie algebras: the realization (case k=2 or 3). Application to the classification of finite o polynomial maps from it ℂ. to a simple finite-dimensional Lie algebra with the action of a finite cyclic group. As a side result of this construction we deduce a nice description of the finite order automorphisms of a simple finite-dimensional Lie algebra, and, in particular, the classification of symmetric spaces.
社团
发表于 2025-3-27 12:46:54
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Eulogy
发表于 2025-3-27 14:21:06
The principal realization of the basic representation. Application to the KdV-type hierarchies of ntly in terms of certain (infinite order) differential operators in infinitely many indeterminates, called the vertex operators. The so-called principal Heisenberg subalgebra s of g(.) plays a crucial role in this construction. In a similar fashion, we construct representations of affine Lie algebras of infinite rank.
高原
发表于 2025-3-27 19:28:07
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绅士
发表于 2025-3-27 23:49:01
Real and imaginary roots,In this chapter we give an explicit description of the root system ∆ of a Kac-Moody algebra g(A). Our main instrument is the notion of an imaginary root, which has no counterpart in the finite-dimensional theory.
jabber
发表于 2025-3-28 03:25:47
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扫兴
发表于 2025-3-28 07:51:48
Integrable highest weight modules over affine Lie algebras. Application to ,-function identities,In the last three chapters we developed a representation theory of arbitrary Kac-Moody algebras. From now on we turn to the special case of affine Lie algebras.
有节制
发表于 2025-3-28 12:20:24
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