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I want to take a quantum algebra route to take my previous study further which is related to quantum information. but unfortunately, I am unable to find enough material in this arena. can anyone suggest some research material or book for this?

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  • $\begingroup$ What is "quantum algebra"? $\endgroup$
    – Rammus
    Sep 12, 2022 at 12:59
  • $\begingroup$ @Rammus quantum algebra $\endgroup$
    – CADENTIC
    Sep 12, 2022 at 13:02

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Jens Carsten Jantzen's Lectures on Quantum Groups is a good resource for folks who are approaching quantum groups/algebras having studied the theory of complex semisimple Lie algebras. (In fact, Jantzen specifies in the preface that his target audience is those with exposure to linear algebra and the theory of semisimple Lie algebras.)

Introduction to Quantum Groups and Crystal Bases by Jin Hong and Seok-Jin Kang is another text which assumes less background knowledge of Lie algebras and Hopf algebras than many references.

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