Quantum groups | Hopf algebras
In algebra, the Nichols algebra of a braided vector space (with the braiding often induced by a finite group) is a braided Hopf algebra which is denoted by and named after the mathematician Warren Nichols. It takes the role of quantum Borel part of a pointed Hopf algebra such as a quantum groups and their well known finite-dimensional truncations. Nichols algebras can immediately be used to write down new such quantum groups by using the Radford biproduct. The classification of all such Nichols algebras and even all associated quantum groups (see Application) has been progressing rapidly, although still much is open: The case of an abelian group was solved in 2005, but otherwise this phenomenon seems to be very rare, with a handful examples known and powerful negation criteria established (see below). See also this List of finite-dimensional Nichols algebras. The finite-dimensional theory is greatly governed by a theory of root systems and Dynkin diagrams, strikingly similar to those of semisimple Lie algebras. A comprehensive introduction is found in the lecture of Heckenberger. (Wikipedia).
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“From Berkeley to Berlin” Part 2 – Tom Ramos
Learn how Lawrence’s ideas and energy, as well as discoveries being made at the Rad Lab, shaped events in the Second World War. 💻 LLNL News: https://www.llnl.gov/news 📲 Instagram: https://www.instagram.com/livermore_lab 🤳 Facebook: https://www.facebook.com/livermore.lab 🐤 Twitter: http
From playlist LLESA Author Series
Virtual rigid motives of definable sets in valued fields - A. Forey - Workshop 2 - CEB T1 2018
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From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
PreCalculus - Algebra Fundamental Review (25 of 80) Review of Word Problems: Coins
Visit http://ilectureonline.com for more math and science lectures! In this video I will find how much money Visit http://ilectureonline.com for more math and science lectures! In this video I will find how many quarters, dimes and nickles does Susan have of each if she has 4 times as ma
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Quantified Self: Your Digital Self-Help Mentor | Nichol Bradford | Big Think
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From playlist Best Videos | Big Think
MIT Electronic Feedback Systems (1985) View the complete course: http://ocw.mit.edu/RES6-010S13 Instructor: James K. Roberge License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Electronic Feedback Systems (1985)
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This lecture is on Elementary Linear Algebra. For more see http://calculus123.com.
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