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Showing 1 to 20 of 432 for “"affine"”.
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Extended affine lie algebras and extended affine weyl groups
This thesis is about extended affine Lie algebras and extended affine Weyl groups. In Chapter I, we provide the basic knowledge necessary for the study of extended affine Lie algebras and related objects. In Chapter II, we show that the well-known twisting phenomena which appears in the realization …
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Double affine galleries
We develop a theory of galleries for double affine hyperplane arrangements. A gallery is an infinite sequence of chambers, indexed by an ordered set, which is maximal with respect to a finiteness condition on the multiset of wall-crossings. We study the possible order types of galleries. We also …
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Geometry of Affine Actions
We introduce a new factorization for elements of the loop group LSL2 = SL2( C ((lambda-1))). We then define a new decomposition for the flag manifold FL2 = LSL2/ B+ (= SL2&d14;/B&d14; + ), into isomorphic overlapping cells. This allows us to examine globally the left vector field action of the …
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Double Affine Bruhat Order
… with root system Phi_fin, one can create the affine Weyl group W_aff by taking the semidirect product of the translation group associated to the coroot lattice for Phi_fin, with W_fin. The double affine Weyl semigroup W can be created by using a similar semidirect product where one replaces …
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Coordinates Arising from Affine Fibrations
… of whether residual coordinates arising from affine fibrations are coordinates. We show that the second Venereau polynomial is a coordinate, and introduce a related class of residual coordinates, called Venereau-type polynomials, and show many of them to be coordinates. We give some partial …
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Affine semigroups and c-semigroups
… of three articles and has as its object of study affine semigroups and C-semigroups, from both a theoretical and computational perspective. Considering numerical semigroups as a starting point, the aim of this thesis is to generalize certain properties, characterizations, invariants, and known …
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Loops and Finite Affine Planes
… We establish a correspondence between finite affine planes and certain finite fibered loops. We prove that certain finite affine planes must have even prime power order. Finally, we characterize the finite affine translation planes of odd order.
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Endoscopy for affine Hecke categories
We show that the neutral block of the affine monodromic Hecke category for a reductive group is monoidally equivalent to the neutral block of the affine Hecke category for the endoscopic group. The semisimple complexes of both categories can be identified with the generalized Soergel bimodules via …
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Un modelo affine de Stock Prices
Es sabido que los modelos que se suelen utilizar para el pricing de stocks asumen log normalidad de dividendos, ya sea comenzando por First Principals (donde existe un agente representativo que maximiza su utilidad) o con argumentos de no arbitraje. El modelo estándar que observamos parte de una …
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Estimating dynamic affine term structure models
… demonstrated some pointed problems in estimating affine term structure models when the price of risk is dynamic, that is, risk factor dependent. The risk neutral parameters are estimated with precision, while the price of risk parameters are not. For the Gaussian models they investigated, these …
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On affine embeddings of reductive groups
… of homogeneous spaces, especially the case of affine normal embeddings of reductive groups. We might guess that as in the case of toric varieties, some specific subset of one-parameter subgroups may contribute to the classification of affine embeddings of general reductive group. To check this, …
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A Combinatorially Explicit Relative Möbius Function on Affine Grassmannians and a Proposal for an Affine Infinite Symmetric Group
For an affine Weyl group W, we explicitly determine the elements for which the Möbius function of the subposet of affine Grassmannians under the Bruhat order is non-zero by utilizing the quantum Bruhat graph of the classical Weyl group associated to W . Then we examine embedding stable and …
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A Method of Coordinatizing an Affine Geometry
… utilized his methods for coordinatizing the affine plane. Unlike the original analytic geometry of Descartes, in which it was assumed that the points of a line in a Euclidean space are in one-to-one correspondence with the real numbers, the mathematicians of today approach the problem of …
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Equivalence of Boolean Functions Under Affine Transformations
Made available in DSpace on 2014-12-14T13:09:34Z (GMT). No. of bitstreams: 1 7726653.pdf: 2293529 bytes, checksum: 8ad98e66278053940114432cf763e41c (MD5) Previous issue date: 1977
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Non-affine lattice dynamics of disordered solids
… Resorting to the theoretical framework of non-affine lattice dynamics the attention is focused on the analysis of disordered networks and lattices which serve as tractable model systems for real materials. Firstly, we discuss the static elastic response and the vibrational spectra of defective …
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Double affine Hecke algebras and noncommutative geometry
In the first part we study Double Affine Hecke algebra of type An-1 which is important tool in the theory of orthogonal polynomials. We prove that the spherical subalgebra eH(t, 1)e of the Double Affine Hecke algebra H(t, 1) of type An-1 is an integral Cohen-Macaulay algebra isomorphic to the …
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Nilpotent orbits and the affine flag manifold
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1997.
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