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Journal articles on the topic 'Algèbre non commutative'

Author: Grafiati

Published: 4 June 2021

Last updated: 26 January 2023

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1

Battikh, Naoufel. "Formes différentielles non commutatives et Algèbres de Gerstenhaber." Comptes Rendus. Mathématique 361, G1 (2023): 31–44. http://dx.doi.org/10.5802/crmath.386.

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2

et Richard Varro, Michelle Nourigat. "Étude des ω-PI Algèbres Commutatives de Degré 4: I. Algèbres Non Barycentriques Non Invariantes par Gamétisation". Communications in Algebra 39, № 11 (2011): 3956–68. http://dx.doi.org/10.1080/00927872.2010.513348.

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Nourigat et, Michelle, та Richard Varro. "Étude desω-PI Algèbres Commutatives de Degré 4: II. Algèbres Non Barycentriques Invariantes par Gamétisation". Communications in Algebra 39, № 8 (2011): 2764–78. http://dx.doi.org/10.1080/00927872.2010.490539.

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4

Claude, Daniel. "Découplage des Systèmes Non Linéaires, Series Génératrices Non Commutatives et Algèbres de Lie." SIAM Journal on Control and Optimization 24, no. 3 (1986): 562–78. http://dx.doi.org/10.1137/0324033.

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5

Benslimane, Mohamed, and Angel Rodriguez Palacios. "Caractérisation spectrale des algèbres de Jordan Banach non commutatives complexes modulaires annihilatrices." Journal of Algebra 140, no. 2 (1991): 344–54. http://dx.doi.org/10.1016/0021-8693(91)90160-a.

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6

Varro, Richard. "Identités Multilinéaires de Degré 4 pour les Algèbres de Bernstein et de Mutation Non Commutatives." Communications in Algebra 40, no. 7 (2012): 2426–48. http://dx.doi.org/10.1080/00927872.2011.578605.

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7

Medbouhi, A., and A. Tajmouati. "Calculs fonctionnels holomorphe et harmonique dans les algèbres de Jordan-Banach non commutatives quotients et applications." Bulletin of the Belgian Mathematical Society - Simon Stevin 9, no. 3 (2002): 383–97. http://dx.doi.org/10.36045/bbms/1102715063.

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8

Benslimane, Mohamed, and El Amin Mokhtar Kaidi. "Structure des algèbres de Jordan-Banach non commutatives complexes régulières ou semi-simples à spectre fini." Journal of Algebra 113, no. 1 (1988): 201–6. http://dx.doi.org/10.1016/0021-8693(88)90189-5.

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9

Hivert, Florent. "Analogues non-commutatifs et quasi-symétriques des fonctions de Hall-Littlewood, et modules de Demazure d'une algèbre enveloppante quantique dégénérée." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 326, no. 1 (1998): 1–6. http://dx.doi.org/10.1016/s0764-4442(97)82703-6.

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10

Fliess, Michel. "Questioning the signal to noise ratioin digital communications." Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées Volume 9, 2007 Conference in... (October 22, 2008). http://dx.doi.org/10.46298/arima.1908.

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International audience The signal to noise ratio, which plays such an important rôle in information theory, is shown to become pointless for digital communications where the demodulation is achieved via new fast estimation techniques. Operational calculus, differential algebra, noncommutative algebra and nonstandard analysis are the main mathematical tools. On démontre que le rapport signal à bruit, si important en théorie de l’information, devient sans objet pour des communications numériques où la démodulation s’effectue selon des techniques nouvelles d’estimation rapide. Calcul opérationnel

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11

Bergeron-Brlek, Anouk, Christophe Hohlweg, and Mike Zabrocki. "Words and polynomial invariants of finite groups in non-commutative variables." Discrete Mathematics & Theoretical Computer Science DMTCS Proceedings vol. AK,..., Proceedings (2009). http://dx.doi.org/10.46298/dmtcs.2720.

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International audience Let $V$ be a complex vector space with basis $\{x_1,x_2,\ldots,x_n\}$ and $G$ be a finite subgroup of $GL(V)$. The tensor algebra $T(V)$ over the complex is isomorphic to the polynomials in the non-commutative variables $x_1, x_2, \ldots, x_n$ with complex coefficients. We want to give a combinatorial interpretation for the decomposition of $T(V)$ into simple $G$-modules. In particular, we want to study the graded space of invariants in $T(V)$ with respect to the action of $G$. We give a general method for decomposing the space $T(V)$ into simple $G$-module in terms of w

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12

Daugherty, Zajj, and Peter Herbrich. "Centralizers of the infinite symmetric group." Discrete Mathematics & Theoretical Computer Science DMTCS Proceedings vol. AT,..., Proceedings (2014). http://dx.doi.org/10.46298/dmtcs.2414.

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International audience We review and introduce several approaches to the study of centralizer algebras of the infinite symmetric group $S_{\infty}$. Our work is led by the double commutant relationship between finite symmetric groups and partition algebras; in the case of $S_{\infty}$, we obtain centralizer algebras that are contained in partition algebras. In view of the theory of symmetric functions in non-commuting variables, we consider representations of $S_{\infty}$ that are faithful and that contain invariant elements; namely, non-unitary representations on sequence spaces. Nous étudion

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13

Bultel, Jean-Paul, Ali Chouria, Jean-Gabriel Luque, and Olivier Mallet. "Redfield-Pólya theorem in $\mathrm{WSym}$." Discrete Mathematics & Theoretical Computer Science DMTCS Proceedings vol. AS,..., Proceedings (2013). http://dx.doi.org/10.46298/dmtcs.2324.

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International audience We give noncommutative versions of the Redfield-Pólya theorem in $\mathrm{WSym}$, the algebra of word symmetric functions, and in other related combinatorial Hopf algebras. Nous donnons des versions non-commutatives du théorème d’énumération de Redfield-Pólya dans $\mathrm{WSym}$, l’algèbre des fonctions symétriques sur les mots, ainsi que dans d’autres algèbres de Hopf combinatoires.

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14

Aguiar, Marcelo, Carlos André, Carolina Benedetti, et al. "Supercharacters, symmetric functions in noncommuting variables (extended abstract)." Discrete Mathematics & Theoretical Computer Science DMTCS Proceedings vol. AO,..., Proceedings (2011). http://dx.doi.org/10.46298/dmtcs.2967.

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International audience We identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analysis on the group of unipotent uppertriangular matrices with coefficients in a finite field, and the ring of symmetric functions in noncommuting variables. Each is a Hopf algebra and the two are isomorphic as such. This allows developments in each to be transferred. The identification suggests a rich class of examples for the emerging field of combinatorial Hopf algebras. Nous montrons que deux structures en apparence bien différentes peuvent être identifiées: les super-car

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15

Lam, Thomas, Aaron Lauve, and Frank Sottile. "Skew Littlewood―Richardson rules from Hopf algebras." Discrete Mathematics & Theoretical Computer Science DMTCS Proceedings vol. AN,..., Proceedings (2010). http://dx.doi.org/10.46298/dmtcs.2853.

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International audience We use Hopf algebras to prove a version of the Littlewood―Richardson rule for skew Schur functions, which implies a conjecture of Assaf and McNamara. We also establish skew Littlewood―Richardson rules for Schur $P-$ and $Q-$functions and noncommutative ribbon Schur functions, as well as skew Pieri rules for k-Schur functions, dual k-Schur functions, and for the homology of the affine Grassmannian of the symplectic group. Nous utilisons des algèbres de Hopf pour prouver une version de la règle de Littlewood―Richardson pour les fonctions de Schur gauches, qui implique une

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