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The Group-Algebraic Formalism of Quantum Probability and Its Applications in Quantum Statistical Mechanics. [PDF]

Entropy (Basel)
Gu Y, Wang J.
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Compatibility of Drinfeld presentations for split affine Kac-Moody quantum symmetric pairs. [PDF]

Lett Math Phys
Li JR, Przeździecki T.
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Bifurcations in planar, quadratic mass-action networks with few reactions and low molecularity. [PDF]

Nonlinear Dyn
Banaji M, Boros B, Hofbauer J.
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Nilpotent Lie Groups

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Automorphism Groups of Deformations and Quantizations of Kleinian Singularities. [PDF]

Transform Groups
Castellan S.
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CFT Correlators and Mapping Class Group Averages. [PDF]

Commun Math Phys
Romaidis I, Runkel I.
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On the Converse of Pansu's Theorem. [PDF]

Arch Ration Mech Anal
De Philippis G, Marchese A, Merlo A, Pinamonti A, Rindler F.   +4 more
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Subsemigroups of Nilpotent Lie Groups

Journal of Lie Theory, 2020
Summary: For a closed subsemigroup \(S\) of a simply connected nilpotent Lie group \(G\), we prove that either \(S\) is a subgroup, or there is an epimorphism \(f\) from \(G\) to the reals \(R\) such that \(f(s) \ge 0\) for all \(s\) of \(S\).
Abels, Herbert, Vinberg, Ernest B.
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Lie-Nilpotency Indices of Group Algebras

Bulletin of the London Mathematical Society, 1992
For an associative ring \(A\), define \(A^{[1]}\) to be \(A\) and \(A^{[n]}\) (\(n>1\)) to be the two-sided ideal of \(A\) that is generated by all \(n\)- fold Lie commutators \([a_ 1,[a_ 2,\dots,[a_{n-1},a_ n]\dots]]\) (\(a_ i\in A\)). \(A\) is called Lie-nilpotent if \(A^{[n]}=0\) for some \(n\), in which case the smallest such \(n\) is denoted \(t_ ...
Bhandari, Ashwani K., Passi, I. B. S.
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