منابع مشابه
Illumination of Quantum Hall States
We show that illumination by continuous white radiation saturates the population of levels so that some of the transitions are not observed. This reduces the number of observable transitions so that the resolution of neighboring transitions is improved. In the case of ν = 11/2 the improved resolution leads to clear observation of zero in the ρxx which appears as a finite resistivity minimum in ...
متن کاملHall Algebra Realizations of Quantum Groups
In particular, Q has finitely many indecomposables if and only if the underlying graph of Q is a disjoint union of copies of type ADE graphs. In this case, the above theorem is true for any field. Hence we can identify the isomorphism class of a representation over a Dynkin quiver with a function from the positive roots of ∆ to the nonnegative integers. The path algebra of Q is hereditary, so E...
متن کاملThe Hall Algebra of a Cyclic Quiver
We show that the generic Hall algebra of nilpotent representations of an oriented cycle specialised at q = 0 is isomorphic to the generic extension monoid in the sense of Reineke. This continues the work of Reineke in [3]. 1. The generic extension monoid and the generic Hall algebra For the following let Q be a finite quiver with vertex set Q0 and arrow set Q1. We consider only finite dimension...
متن کاملDrinfeld realization of the elliptic Hall algebra
We give a new presentation of the Drinfeld double E of the (spherical) elliptic Hall algebra E+ introduced in our previous work (Burban and Schiffmann in Duke Math. J. preprint math.AG/0505148, 2005). This presentation is similar in spirit to Drinfeld’s ‘new realization’ of quantum affine algebras. This answers, in the case of elliptic curves, a question of Kapranov concerning functional relati...
متن کاملOn the Hall Algebra of Coherent
We define and study the category Cohn(P) of normal coherent sheaves on the monoid scheme P (equivalently, the M0-scheme P/F1 in the sense of ConnesConsani-Marcolli [4] ). This category resembles in most ways a finitary abelian category, but is not additive. As an application, we define and study the Hall algebra of Cohn(P). We show that it is isomorphic as a Hopf algebra to the enveloping algeb...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2019
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2019.114693