In mathematics, a Hecke algebra is classically the algebra of Hecke operators studied by Erich Hecke. It may also refer to one of several algebras (some of which are related to the classical Hecke algebra): * Iwahori–Hecke algebra of a Coxeter group. * Hecke algebra of a pair (g,K) where g is the Lie algebra of a Lie group G and K is a compact subgroup of G. * Hecke algebra of a locally compact group H(G,K), for a locally compact group G with respect to a compact subgroup K. * Hecke algebra of a finite group, the algebra spanned by the double cosets HgH of a subgroup H of a finite group G. * , when K is a maximal open compact subgroup of a general linear group. * Affine Hecke algebra * * This disambiguation page lists mathematics articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article. (Wikipedia).
Mark W. McConnell: Computing Hecke operators for cohomology of arithmetic subgroups of SL_n(Z)
Abstract: We will describe two projects. The first which is joint with Avner Ash and Paul Gunnells, concerns arithmetic subgroups Γ of G=SL_4(Z). We compute the cohomology of Γ∖G/K, focusing on the cuspidal degree H^5. We compute a range of Hecke operators on this cohomology. We fi Galois
From playlist Number Theory
Ben Elias: Categorifying Hecke algebras at prime roots of unity
Thirty years ago, Soergel changed the paradigm with his algebraic construction of the Hecke category. This is a categorification of the Hecke algebra at a generic parameter, where the parameter is categorified by a grading shift. One key open problem in categorification is to categorify He
From playlist Workshop: Monoidal and 2-categories in representation theory and categorification
Solving a SLE in 3 Variables with Row Operations 1
Linear Algebra: We solve a system of three linear equations in three variables using row operations. In this Part, we give a procedure for row reduction and give an example using coefficients of 0 and 1.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
The Campbell-Baker-Hausdorff and Dynkin formula and its finite nature
In this video explain, implement and numerically validate all the nice formulas popping up from math behind the theorem of Campbell, Baker, Hausdorff and Dynkin, usually a.k.a. Baker-Campbell-Hausdorff formula. Here's the TeX and python code: https://gist.github.com/Nikolaj-K/8e9a345e4c932
From playlist Algebra
Modular forms: Hecke operators
This lecture is part of an online graduate course on modular forms. We introduce Hecke operators for modular functions in three different ways. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj51HisRtNyzHX-Xyg6I3Wl2F
From playlist Modular forms
Algebra for Beginners | Basics of Algebra
#Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. Table of Conten
From playlist Linear Algebra
In this veideo we continue our look in to the dihedral groups, specifically, the dihedral group with six elements. We note that two of the permutation in the group are special in that they commute with all the other elements in the group. In the next video I'll show you that these two el
From playlist Abstract algebra
Live CEOing Ep 592: Language Design Review of System Modeling and Control Features
In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and features to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram
From playlist Behind the Scenes in Real-Life Software Design
Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
Abstract Algebra | What is a ring?
We give the definition of a ring and present some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Recorded: Spring 2014 Lecturer: Dr. Erin M. Buchanan Materials: created for Memory and Cognition (PSY 422) using Smith and Kosslyn (2006) Lecture materials and assignments available at statisticsofdoom.com. https://statisticsofdoom.com/page/other-courses/
From playlist PSY 422 Memory and Cognition with Dr. B
Python - Information Extraction Part 1 (2023 New)
Lecturer: Dr. Erin M. Buchanan Spring 2023 https://www.patreon.com/statisticsofdoom In this video, you will learn about information extraction: keyphrase extraction, named entity recognition/disambiguation, and relation extraction. You will learn about spacy, textacy, and more python p
From playlist Natural Language Processing
Recorded: Spring 2014 Lecturer: Dr. Erin M. Buchanan Materials: created for Memory and Cognition (PSY 422) using Smith and Kosslyn (2006) Lecture materials and assignments available at statisticsofdoom.com. https://statisticsofdoom.com/page/other-courses/
From playlist PSY 422 Memory and Cognition with Dr. B
Python - Introduction to Natural Language Processing, Part 1
Lecturer: Dr. Erin M. Buchanan Fall 2020 (Recorded Fall 2019) https://www.patreon.com/statisticsofdoom This video is part of my Natural Language Processing course from 2019. I focus mostly on python, the nltk package, and a basic overview to NLP in this lecture. You will also learn a bi
From playlist Natural Language Processing
QED Prerequisites Geometric Algebra 13 Tensors
In this lesson we make contact with the standard concept of tensors using spacetime algebra. Please consider supporting this channel on Patreon: https://www.patreon.com/XYLYXYLYX The software I usually use to produce the lectures is: https://apps.apple.com/us/app/vittle-pro-video-whit
From playlist QED- Prerequisite Topics
Here's where you can try GAS 321 – Ocean’s Trio by Philip: https://tinyurl.com/4uhc2yr4 Normal sudoku rules apply. Also, consecutive digits must never be orthogonally adjacent. The digits 1, 2, and 3 are marked with orange circles; the digits 4, 5, and 6 are marked with blue squares. GAS
From playlist All the GAS - Genuinely Approachable Sudokus
Lattices, Hecke Operators, and the Well-Rounded Retract - Mark McConnell
Mark McConnell Center for Communications Research, Princeton University March 7, 2012 For more videos, visit http://video.ias.edu
From playlist Mathematics