5 problems
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Conjecture on complementary series in decompositions of hyperbolic Kac-Moody algebras
Let be a hyperbolic Kac–Moody Lie algebra and let be a positive imaginary root. Consider the decomposition of with respect to the subalge…
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Kim et al.'s vacuum expectation value conjecture for principal-series operators
Let the theory satisfy the assumptions of Proposition, and let be the operator with scaling dimension . In the true vacuum of the theory, Kim et al…
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Generalization of the principal-series decomposition to arbitrary Kac–Moody matrices
The paper considers a Kac–Moody group whose Kac–Moody matrix has size , a parameter in the relevant set, the principal series representation , and the associ…
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Irreducibility conjecture for the subquotients E_J of the trivial principal series
Let be a connected reductive group over , and let be the set of simple reflections of the Weyl group of . Assume that…
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ABPS conjectures for principal series representations of split groups
ABPS conjectures. There exists a bijection