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The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra
generalized triangle inequalities symmetric spaces and buildings applications to algebra
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2015/10/14
In this paper we apply our results on the geometry of polygons in infinitesimal symmetric spaces, symmetric spaces and buildings, [KLM1, KLM2], to four problems in algebraic group theory. Two of these...
THE NONCOMMUTATIVE WIENER LEMMA,LINEAR INDEPENDENCE,AND SPECTRAL PROPERTIES OF THE ALGEBRA OF TIME-FREQUENCY SHIFT OPERATORS
NONCOMMUTATIVE WIENER LEMMA LINEAR INDEPENDENCE SPECTRAL PROPERTIES OF THE ALGEBRA TIME-FREQUENCY SHIFT OPERATORS
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2015/9/29
In this paper we analyze the Banach *-algebra of time-frequency shifts with absolutely summable coefficients. We prove a noncommutative version of the Wiener lemma. We also construct a faithful tracia...
SHIMURA VARIETIES WITH Γ1(p)-LEVEL VIA HECKE ALGEBRA ISOMORPHISMS: THE DRINFELD CASE
VIA HECKE ALGEBRA THE DRINFELD CASE
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2015/9/29
We study the local factor at p of the semi-simple zeta function of a Shimura
variety of Drinfeld type for a level structure given at p by the pro-unipotent radical of an
Iwahori subgroup. Our method...
ON HECKE ALGEBRA ISOMORPHISMS AND TYPES FOR DEPTH-ZERO PRINCIPAL SERIES
HECKE ALGEBRA ISOMORPHISMS DEPTH-ZERO PRINCIPAL SERIES
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2015/9/29
These lectures describe Hecke algebra isomorphisms and types for depth-zero
principal series blocks, a.k.a. Bernstein components Rs(G) for s = sχ = [T, χe]G, where χ
is a depth-zero character on T(O...
MATH 603: INTRODUCTION TO COMMUTATIVE ALGEBRA
MATH COMMUTATIVE ALGEBRA
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2015/9/29
What is this course about? The foundations of di erential geometry (=
study of manifolds) rely on analysis in several variables as \local machinery": many
global theorems about manifolds are reduced...
A FIRST LOOK AT DIFFERENTIAL ALGEBRA
DIFFERENTIAL ALGEBRA
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2015/8/26
A FIRST LOOK AT DIFFERENTIAL ALGEBRA.
STRUCTURE OF THE MALVENUTO-REUTENAUER HOPF ALGEBRA OF PERMUTATIONS
Hopf algebra symmetric group weak order quasi-symmetric function
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2015/8/14
We analyze the structure of theMalvenuto-Reutenauer Hopf algebraSSym
of permutations in detail. We give explicit formulas for its antipode, prove that it is
a cofree coalgebra, determine its primiti...
NEW RESULTS ON THE PEAK ALGEBRA
Solomon’s descent algebra peak algebra signed permutation
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2015/8/14
The peak algebra Pn is a unital subalgebra of the symmetric group algebra,
linearly spanned by sums of permutations with a common set of peaks. By exploiting
the combinatorics of sparse subsets of [...
STRUCTURE OF THE LODAY-RONCO HOPF ALGEBRA OF TREES
Hopf algebra planar binary tree permutation weak order
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2015/8/14
Loday and Ronco defined an interesting Hopf algebra structure on the linear
span of the set of planar binary trees. They showed that the inclusion of the Hopf algebra
of non-commutative symmetric fu...
Combinatorics of the free Baxter algebra
free Baxter algebra Combinatorics
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2015/8/14
We study the free (associative, non-commutative) Baxter algebra on one generator.
The first explicit description of this object is due to Ebrahimi-Fard and
Guo. We provide an alternative description...
THE PEAK ALGEBRA AND THE DESCENT ALGEBRAS OF TYPES B AND D
peak algebra signed permutations Coxeter groups
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2015/8/14
We show the existence of a unital subalgebra Pn of the symmetric group
algebra linearly spanned by sums of permutations with a common peak set, which we
call the peak algebra. We show that Pn is the...
THE HOPF ALGEBRA OF UNIFORM BLOCK PERMUTATIONS
Hopf algebra factorizable inverse monoid uniform block permutation
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2015/8/14
We introduce the Hopf algebra of uniform block permutations and show that
it is self-dual, free, and cofree. These results are closely related to the fact that uniform
block permutations form a fact...
A GROWTH MODEL,A GAME,AN ALGEBRA,LAGRANGE INVERSION,AND CHARACTERISTIC CLASSES
Growth model games algebra Lagrange inversion feature classes
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2015/7/14
A GROWTH MODEL,A GAME,AN ALGEBRA,LAGRANGE INVERSION,AND CHARACTERISTIC CLASSES.
Analysis of Systematic Scan Metropolis Algorithms Using Iwahori–Hecke Algebra Techniques
Analysis system scanning the metropolis algorithm Iwahori - Hecke algebraic techniques
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2015/7/14
Analysis of Systematic Scan Metropolis Algorithms Using Iwahori–Hecke Algebra Techniques。
SUPERCHARACTERS AND SUPERCLASSES FOR ALGEBRA GROUPS
SUPERCHARACTERS super class of algebraic groups
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2015/7/8
SUPERCHARACTERS AND SUPERCLASSES FOR ALGEBRA GROUPS。