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Crystals of Type B and Metaplectic Whittaker Functions
Metaplectic Whittaker Functions Type B
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2015/7/6
Let n be an integer and let F be a nonarchimedean local eld whose characteristic
is not a prime dividing n. Let k be the group of k-th roots of unity in the algebraic
closure of F; we assume that ...
Exact solution of $D_N$ type quantum Calogero model through a mapping to free harmonic oscillators
$D_N$ type quantum Calogero model through free harmonic oscillators
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2011/3/3
We solve the eigenvalue problem of the DN type of Calogero model by mapping it to a set of decoupled quantum harmonic oscillators through a similarity transformation.In particular, we construct the ei...
Proper Resolutions and Auslander-Type Conditions of Modules
Proper Resolutions Auslander-Type Conditions of Modules
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2011/1/19
We obtain some methods to construct a (strongly) proper resolution (resp. coproper coresolution) of one end term in a short exact sequence from that of the other two terms.
By using this method, we p...
Nordhaus-Gaddum-type theorem for rainbow connection number of graphs
edge-colored graph rainbow connection number Nordhaus-Gaddumtype
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2011/1/21
An edge-colored graph G is rainbow connected if any two vertices are connected by a path whose edges have distinct colors. The rainbow connection number of G, denoted rc(G), is the minimum number of c...
Sutherland-type Trigonometric Models, Trigonometric Invariants and Multivariate Polynomials. III. $E_8$ case
Sutherland-type Trigonometric Models Trigonometric Invariants Multivariate Polynomials
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2011/1/19
It is shown that the E8 trigonometric Olshanetsky-Perelomov Hamiltonian, when written in
terms of the Fundamental Trigonometric Invariants (FTI), is in algebraic form, i.e., has polynomial coefficien...
A Bourgain type bilinear estimate for a class of water-wave models
Bourgain type bilinear estimate a class of water-wave models
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2010/12/10
A Bourgain type bilinear estimate for a class of water-wave models.