C*-algebras | Quantum groups | Functional analysis | Harmonic analysis | Representation theory
In mathematics and theoretical physics, a locally compact quantum group is a relatively new C*-algebraic approach toward quantum groups that generalizes the Kac algebra, compact-quantum-group and Hopf-algebra approaches. Earlier attempts at a unifying definition of quantum groups using, for example, multiplicative unitaries have enjoyed some success but have also encountered several technical problems. One of the main features distinguishing this new approach from its predecessors is the axiomatic existence of left and right invariant weights. This gives a noncommutative analogue of left and right Haar measures on a locally compact Hausdorff group. (Wikipedia).
Symmetric Groups (Abstract Algebra)
Symmetric groups are some of the most essential types of finite groups. A symmetric group is the group of permutations on a set. The group of permutations on a set of n-elements is denoted S_n. Symmetric groups capture the history of abstract algebra, provide a wide range of examples in
From playlist Abstract Algebra
The Special Linear Group is a Subgroup of the General Linear Group Proof
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From playlist Abstract Algebra
The General Linear Group, The Special Linear Group, The Group C^n with Componentwise Multiplication
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys The General Linear Group, The Special Linear Group, The Group C^n with Componentwise Multiplication
From playlist Abstract Algebra
Lie Groups and Lie Algebras: Lesson 13 - Continuous Groups defined
Lie Groups and Lie Algebras: Lesson 13 - Continuous Groups defined In this lecture we define a "continuous groups" and show the connection between the algebraic properties of a group with topological properties. Please consider supporting this channel via Patreon: https://www.patreon.co
From playlist Lie Groups and Lie Algebras
Adam Skalski: Translation invariant noncommutative Dirichlet forms
Talk by Adam Skalski in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on April 28, 2021
From playlist Global Noncommutative Geometry Seminar (Europe)
STPM - The Cohomology of Arithmetic Groups - Simon Marshall
Simon Marshall Institute for Advanced Study September 27, 2010 For more videos, visit http://video.ias.edu
From playlist Mathematics
Benjamin Anderson-Sackaney - Tracial and G-invariant States on Quantum Groups
For a discrete group G, the tracial states on its reduced group $C^*$-algebra $C^∗_r (G)$ are exactly the conjugation invariant states. This makes the traces on $C^∗_r (G)$ amenable to group dynamical techniques. In the setting of a discrete quantum group ${\mathbb G}$, there is a quantum
From playlist Annual meeting “Arbre de Noël du GDR Géométrie non-commutative”
Gromov-Witten Theory and Gauge Theory (Lecture 2) by Constantin Teleman
PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie
From playlist Vortex Moduli - 2023
AlgTopReview4: Free abelian groups and non-commutative groups
Free abelian groups play an important role in algebraic topology. These are groups modelled on the additive group of integers Z, and their theory is analogous to the theory of vector spaces. We state the Fundamental Theorem of Finitely Generated Commutative Groups, which says that any such
From playlist Algebraic Topology
Symmetry in Quantum Gravity by Hirosi Ooguri
DATE: 15 January 2018, 16:00 to 17:30 VENUE: Ramanujan Lecture Hall, ICTS Bangalore General relativity and quantum mechanics were crowning achievements of physics in the 20th century, and their unification has been left as our homework in the 21st century. Superstring theory is our best
From playlist Kavli Asian Winter School (KAWS) on Strings, Particles and Cosmology 2018
Klaus Fredenhagen - Quantum Field Theory and Gravitation
The incorporation of gravity into quantum physics is still an essentially open problem. Quantum field theory under the influence of an external gravitational field, on the other side, is by now well understood. I is remarkable that, nevertheless, its consistent treatment required a careful
From playlist Trimestre: Le Monde Quantique - Colloque de clôture
Victor Gayral: From equivariant quantization to locally compact quantum group ...
Full Title: From equivariant quantization to locally compact quantum group via deformation of C*-algebras The goal of this talk is to explain how non-formal equivariant quantization gives rise to a theory of deformation of C*-algebras and to concrete examples of locally compact quantum gr
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
An introduction to quantum chaos - Stéphane Nonnemacher
Emerging Topics Working Group Topic: An introduction to quantum chaos Speaker: Stéphane Nonnemacher Affiliation: Université Paris-Sud Date: October 9, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
In this video we construct a symmetric group from the set that contains the six permutations of a 3 element group under composition of mappings as our binary operation. The specifics topics in this video include: permutations, sets, groups, injective, surjective, bijective mappings, onto
From playlist Abstract algebra
Categorical aspects of vortices (Lecture 2) by Niklas Garner
PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie
From playlist Vortex Moduli - 2023
Quantum Theory - Full Documentary HD
Check: https://youtu.be/Hs_chZSNL9I The World of Quantum - Full Documentary HD http://www.advexon.com For more Scientific DOCUMENTARIES. Subscribe for more Videos... Quantum mechanics (QM -- also known as quantum physics, or quantum theory) is a branch of physics which deals with physica
From playlist TV Appearances
Yuri Kordyukov: Adiabatic limits and noncommutative geometry of foliations
We discuss the asymptotic behavior of the eigenvalues of the Laplacian on a Riemannian compact foliated manifold when the metric is blown up in the directions normal to the leaves (in the adiabatic limit). This problem can be considered as an asymptotic spectral problem on the leaf space
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Rigorous RG: a provably efficient and possibly practical algorithm for... - Umesh Vazirani
Computer Science/Discrete Mathematics Seminar I Particle Physics at the LHC and Beyond Topic: Rigorous RG: a provably efficient and possibly practical algorithm for simulating 1D quantum systems Speaker: Umesh Vazirani Affiliation: University of California, Berkeley Date: September 18, 201
From playlist Mathematics
You might find that for certain groups, the commutative property hold. In this video we will assume the existence of such a group and prove a few properties that it may have, by way of some example problems.
From playlist Abstract algebra