K-theoretic Hall algebras for quivers with potential by Pădurariu, Tudor(Tudor Gabriel)

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Some remarks on Dupont contraction. by Luigi Lunardon

“…We present an alternative equivalent description of Dupont's simplicial contraction: it is an explicit example of a simplicial contraction between the simplicial differential graded algebra of polynomial differential forms on standard simplices and the space of Whitney elementary forms.…”
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Formality in generalized Kähler geometry by Cavalcanti, G

“…This is done by showing that a certain differential graded algebra associated to a generalized complex manifold is formal in the generalized Kahler case, while it is never formal for a generalized complex structure on a nilpotent Lie algebra.…”

A Categorification of One-Variable Polynomials by Mikhail Khovanov, Radmila Sazdanovic

“…We develop a diagrammatic categorification of the polynomial ring $\mathbb{Z} [x]$, based on a geometrically-defined graded algebra and show how to lift various operations on polynomials to the categorified setting. …”
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On the algebra of cornered Floer homology by Douglas, C, Manolescu, C

“…Bordered Floer homology associates to a parametrized oriented surface a certain differential graded algebra. We study the properties of this algebra under splittings of the surface. …”

The Aluffi Algebra and Linearity Condition by Abbas Nasrollah Nejad, Parisa Solhi

“…The Aluffi algebra is an algebraic version of characteristic cycles in intersection theory which is an intermediate graded algebra between the symmetric algebra (naive blowup) and the Rees algebra (blowup). …”
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Infinite symmetric products of rational algebras and spaces by Hu, Jiahao, Milivojević, Aleksandar

“…In particular, the infinite symmetric product of a connected commutative (in the usual sense) graded algebra over $\mathbb{Q}$ is a polynomial algebra. …”
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ALJABAR LINTASAN LEAVITT SEDERHANA by , IDA KURNIA WALIYANTI,S.Si, , Dr.rer.nat. Indah Emilia W., M.Si.

“…Leavitt path algebra is ï�¢ -graded algebra which graded ideals are generated by hereditery and saturated subset of vertex set in graph. …”

Factorization of Graded Traces on Nichols Algebras by Simon Lentner, Andreas Lochmann

“…A ubiquitous observation for finite-dimensional Nichols algebras is that as a graded algebra the Hilbert series factorizes into cyclotomic polynomials. …”
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Structure of blocks with normal defect and abelian $p'$ inertial quotient by David Benson, Radha Kessar, Markus Linckelmann

“…To do this, we first examine the associated graded algebra, using a Jennings–Quillen style theorem.…”
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Invariants of Legendrian links by Ng, Lenhard Lee, 1976-

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Open-string integrals with multiple unintegrated punctures at genus one by André Kaderli, Carlos Rodriguez

“…The KZB equations in the so-called universal case is written in terms of the genus-one Drinfeld-Kohno algebra t $$ \mathfrak{t} $$ 1,N ⋊ d $$ \mathfrak{d} $$ , a graded algebra. Our construction determines matrix representations of various dimensions for several generators of this algebra which respect its grading up to commuting terms.…”
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A new algebraic structure in the standard model of particle physics by Latham Boyle, Shane Farnsworth

“…B is the fundamental object in our approach: we show that (nearly) all of the basic axioms and assumptions of the traditional real-spectral-triple formalism of NCG are elegantly recovered from the simple requirement that B should be a differential graded ∗-algebra (or “∗-DGA”). Moreover, this requirement also yields other, new, geometrical constraints. …”
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Evaluation of $ \zeta (2,\ldots ,2,4,2,\ldots ,2) $ and period polynomial relations by Steven Charlton, Adam Keilthy

“…In particular, there are additional relations in the depth graded algebra coming from period polynomials of cusp forms for $\operatorname {\mathrm {SL}}_2({\mathbb {Z}})$ . …”
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Universal effective hadron dynamics from superconformal algebra by Stanley J. Brodsky, Guy F. de Téramond, Hans Günter Dosch, Cédric Lorcé

“…A specific breaking of conformal symmetry inside the graded algebra determines a unique effective quark-confining potential for light hadrons, as well as remarkable connections between the meson and baryon spectra. …”
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Geometric invariant theory for graded unipotent groups and applications by Berczi, G, Doran, B, Hawes, T, Kirwan, FC

“…Given any action of U on a projective variety X extending to an action of U which is linear with respect to an ample line bundle on X, then provided that one is willing to replace the line bundle with a tensor power and to twist the linearisation of the action of U by a suitable (rational) character, and provided an additional condition is satisfied which is the analogue of the condition in classical GIT that there should be no strictly semistable points for the action, we show that the U-invariants form a finitely generated graded algebra; moreover the natural morphism from the semistable subset of X to the enveloping quotient is surjective and expresses the enveloping quotient as a geometric quotient of the semistable subset. …”

Gröbner bases in rational homotopy theory by Lee, Wai Kei Peter

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Bordered Legendrian knots and sutured Legendrian invariants by Sivek, Steven (Steven W.)

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POISSON TRACES AND D-MODULES ON POISSON VARIETIES by Etingof, Pavel I., Schedler, Travis

“…As an application, we deduce that noncommutative filtered algebras, for which the associated graded algebra is finite over its center whose spectrum has finitely many symplectic leaves, have finitely many irreducible finite-dimensional representations. …”
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Enumerative and algebraic aspects of matroids and hyperplane arrangements by Ardila, Federico, 1977-

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