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Almost Split Real Forms for Hyperbolic Kac Moody HAL Hal Archives Ouvertes

Almost Split Real Forms for Hyperbolic Kac Moody HAL Hal Archives Ouvertes

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thank you for the invitation to speak i'm a member of the special year like the representation theory so i want to tell you about something called the queso duality phenomenon for the hecka category the heka category already came up in the talk of uh on wednesday but let me start with the algebra the symmetric group has a presentation like this you can take as generators simple transpositions and they satisfy all they square to the identity and then you have grade relations like algebra is a deformation of the group algebra so in the case of a symmetric group you still have the same radiations on these generators h i but now you deform the quadratic relation in this way b is here an indeterminate you see that if you put b is equal to one then you recover the relation h i squared is equal to the identity and this using an algebra that has the same it's free over uh the wrong point on your ring it has a standard basis label y permutations and when you set b is equal to on

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