[PDF] Top 20 A geometric characterisation of the blocks of the Brauer algebra
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A geometric characterisation of the blocks of the Brauer algebra
... alcove geometric version, in the language of algebraic Lie theory [Jan03] (despite the absence of an obvious Lie-theoretic context) ...the blocks correspond to orbits under this ...a geometric ... See full document
24
The limiting blocks of the Brauer algebra in characteristic p
... A necessary and sufficient condition for two partitions to be in the same block if char F = 0 was given in [CDM09a], using the theory of towers of recollement [CMPX06]. It was shown in [CDM09b] that this is equivalent to ... See full document
22
The blocks of the Brauer algebra in characteristic zero
... For n even, we cannot appeal directly to the general machinery in [CMPX06]. However, the algebras in this case are cellular, and the modules considered by [DWH99] are precisely the cell modules for these algebras. The ... See full document
36
On the blocks of the walled Brauer algebra
... The choice of relative positions of the two parts is slightly more arbitrary. In particular, [DD08, Section 4.5] adopts an alternative convention of plac- ing the negative partition below the usual partition. If δ > r ... See full document
52
The decomposition matrices of the Brauer algebra over the complex field
... As the derivation of our main result is somewhat involved, we end here with a brief preview of the result itself. For each fixed δ ∈ Z (the cases δ 6∈ Z are semisimple [23]), the rows and columns of the limit ... See full document
28
The blocks of the partition algebra in positive characteristic
... the blocks of the partition algebra P n F (δ), when δ lies in the prime subfield of F , in terms of the action of an affine reflection group of type ...the blocks of the Brauer algebra ... See full document
29
The blocks of the partition algebra in positive characteristic
... the blocks of the Brauer algebra over the complex ...the blocks of the Brauer algebra over a field of positive ...walled Brauer algebra in [CDDM08]. For the ... See full document
29
Diagrammatic Kazhdan-Lusztig theory for the (walled) Brauer algebra
... walled Brauer algebras have the same combinatoric for decomposition numbers and for projective resolutions of standard modules as the generalised Khovanov diagram algebras studied by Brundan and Stroppel [BSa, ... See full document
35
On Brauer algebra simple modules over the complex field
... More recently [4] introduced a geometric characterisation of the representation theory of the Brauer algebra. It turns out that the combinatorics used in [15] and [11] can be explained in a ... See full document
31
Alcove geometry and a translation principle for the Brauer algebra
... the Brauer algebras in Section 6, with the aim of prov- ing that two blocks corresponding to weights in the same facet have the same representation theory (Corollary ...true geometric structure ... See full document
52
A characterisation of nilpotent blocks
... the quantity on the left hand side of (i) or (ii), respectively. This is a consequence of the free action of P/foc(F ) on the set of height zero characters via the ∗-construction (see [17, Introduction], [18]). The proof ... See full document
12
A conformal geometric algebra method for virtual hand modeling and interaction
... To provide the sense like the real world, most virtual reality systems have the function of collision detection. The layered bonding boxes with the sphere or oriental shapes were used widely in collision detection [6, ... See full document
10
A Novel Signal Processing Coprocessor for n Dimensional Geometric Algebra Applications
... modular Geometric Algebra Micro Architecture (GAMA) co-processor design is ...the Geometric product, Inner and Outer product and also simple addition, multip- lication and division of ... See full document
19
An Interpretation of Relativistic Spin Entanglement Using Geometric Algebra
... the Bell states. Usually, the first sub-state in the first term is chosen to have the same spin direction for all four basis states, although whether that state is spin-up or spin-down seems to depend on the notation: ... See full document
185
DOA estimation for conformal vector sensor array using geometric algebra
... As for the second point, we know the electromagnetic vector sensor can measure the three components of the electric field and the three components of the magnetic field simultaneously. And, considerable studies on the ... See full document
12
Geometric algebra rotors for skinned character animation blending
... We have employed fully open-source APIs and s/w libraries for all parts of the experiments and case studies: a) the OpenGL 3.2 core profile was used for real-time rendering, the Collada 3D file format for skinned, ... See full document
5
Human Joint Orientation Descriptor Based on Geometric Algebra and Its Application
... In this paper we propose a novel skeleton posture descriptor using orientations of human bones based on geometric algebra. Firstly we formulate the rotor in 3D GA space, then select the most informative ... See full document
5
Polarizations as States and Their Evolution in Geometric Algebra Terms with Variable Complex Plane
... going geometric alge- bra generalization of some proposals for quantum computing formulated in terms of light beam time bins, see [6], [7], but giving much more strength and flexibility in practical ... See full document
11
Strapdown Navigation Using Geometric Algebra: Screw Blade Algorithm
... The rigid body motion can be represented by a motor in geometric algebra, and the motor can be rewritten as a tri- nometric function of the screw blade. In this paper, a screw blade strapdown inertial ... See full document
8
Power Factor Compensation in Non-Sinusoidal Circuits Using Geometric Algebra and Evolutionary Algorithms
... that geometric algebra, also known as Clifford algebra, can be applied to analyze electric ...that geometric algebra is more appropriate than the algebra of complex numbers for ... See full document
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