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Ruang Fase Tereduksi Grup Lie Aff (1)
ABSTRAK Dalam artikel ini dipelajari ruang fase tereduksi dari suatu grup Lie khususnya untuk grup Lie affine berdimensi 2. Tujuannya adalah untuk mengidentifikasi ruang fase tereduksi dari melalui orbit coadjoint buka di titik tertentu pada ruang ...
Edi Kurniadi
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Covering Algebras I. Extended Affine Lie Algebras
Covering Algebras of extended affine Lie algebras(EALA's) relative to finite order automorphisms are studied. Conditions are given for when the resulting algebra is again an EALA. This paper deals with affinizations of EALA's relative to finite order automorphisms and these algebras are generalizations of the affine Kac-Moody Lie algebras.
Bruce Allison+2 more
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Lie algebras of differentiations of linear algebras over a field
In this paper, we study a system of linear equations that define the Lie algebra of differentiations DerA of an arbitrary finite-dimensional linear algebra over a field.
A. Ya. Sultanov+2 more
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Assessing skewness in financial markets
It is a matter of common observation that investors value substantial gains but are averse to heavy losses. Obvious as it may sound, this translates into an interesting preference for right‐skewed return distributions, whose right tails are heavier than their left tails.
Giovanni Campisi+2 more
wiley +1 more source
Quasi-particle bases of principal subspaces of the affine Lie algebra of type $G_2^{(1)}$ [PDF]
The aim of this work is to construct the quasi-particle basis of principal subspace of standard module of highest weight $k\Lambda_0$ of level $k\geq 1$ of affine Lie algebra of type $G_2^{(1)}$ by means of which we obtain the basis of principal subspace
Marijana Butorac
semanticscholar +1 more source
Bethe Ansatz and the Spectral Theory of Affine Lie Algebra-Valued Connections I. The simply-laced Case [PDF]
We study the ODE/IM correspondence for ODE associated to $${\widehat{\mathfrak{g}}}$$g^-valued connections, for a simply-laced Lie algebra $${\mathfrak{g}}$$g.
D. Masoero+2 more
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Modules for double affine Lie algebras [PDF]
15 pages, 15 ...
Chunhua Wang, Naihuan Jing, Naihuan Jing
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Basic Representations for Classical Affine Lie Algebras
Presented here is a construction of certain bases of basic representations for classical affine Lie algebras. The starting point is a Z-grading g = g_{-1} + g_0 + g_1 of a classical Lie algebra g and the corresponding decomposition tilde g = tilde g_{-1} + tilde g_0 + tilde g_1 of the affine Lie algebra tilde g. By using a generalization of Frenkel-Kac
Mirko Primc
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Homogeneous spaces of unsolvable Lie groups that do not admit equiaffine connections of nonzero curvature [PDF]
An important subclass among homogeneous spaces is formed by isotropically-faithful homogeneous spaces, in particular, this subclass contains all homogeneous spaces admitting invariant affine connection.
Mozhey, Natalya Pavlovna
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Affine Lie algebras and tame quivers [PDF]
48 ...
Maxim Vybornov+3 more
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