Results 41 to 50 of about 2,471 (100)
This paper presents a robust H∞ decentralised and centralised control approach for a microsurgical manipulator using Particle Swarm Optimisation and Gravitational Search Algorithm (PSOGSA). The proposed fixed‐structure Proportional‐Integral‐Derivative (PID)‐based controllers address implementation challenges of conventional high‐order H∞ controllers ...
Somyot Kaitwanidvilai +2 more
wiley +1 more source
Virasoro Central Charges for Nichols Algebras [PDF]
A Virasoro central charge can be associated with each Nichols algebra with diagonal braiding in a way that is invariant under the Weyl groupoid action. The central charge takes very suggestive values for some items in Heckenberger's list of rank-2 Nichols algebras.
openaire +2 more sources
A note on quantization operators on Nichols algebra model for Schubert calculus on Weyl groups
We give a description of the (small) quantum cohomology ring of the flag variety as a certain commutative subalgebra in the tensor product of the Nichols algebras.
A. Milinski +13 more
core +5 more sources
Abstract Longitudinal data on risk factors at different ages across the lifecourse are essential for gaining important insights into how the timing and accumulation of exposure to risk factors influence the risk of Alzheimer's disease and related dementias (dementia). With increased interest in the exposome and lifecourse research questions, there have
Emma Nichols +15 more
wiley +1 more source
Nichols algebras with standard braiding [PDF]
The class of standard braided vector spaces, introduced by Andruskiewitsch and the author in 2007 to understand the proof of a theorem of Heckenberger, is slightly more general than the class of braided vector spaces of Cartan type. In the present paper, we classify standard braided vector spaces with finite-dimensional Nichols algebra.
openaire +2 more sources
On pointed Hopf algebras over dihedral groups
Let k be an algebraically closed field of characteristic 0 and let D_m be the dihedral group of order 2m with m= 4t, with t bigger than 2. We classify all finite-dimensional Nichols algebras over D_m and all finite-dimensional pointed Hopf algebras whose
Andruskiewitsch +7 more
core +1 more source
ABSTRACT This paper presents a tilt–integral–derivative (TID) controller for load–frequency regulation in a two‐area interconnected hybrid microgrid with renewable energy integration. The controller parameters are optimised using the twin delayed deep deterministic policy gradient (TD3) method, an advanced actor‐critic reinforcement learning framework ...
Robert Bhadra Naorem +2 more
wiley +1 more source
Structure theorems for braided Hopf algebras
Abstract We develop versions of the Poincaré–Birkhoff–Witt and Cartier–Milnor–Moore theorems in the setting of braided Hopf algebras. To do so, we introduce new analogs of a Lie algebra in the setting of a braided monoidal category, using the notion of a braided operad.
Craig Westerland
wiley +1 more source
Cocycle Twists and Extensions of Braided Doubles
It is well known that central extensions of a group G correspond to 2-cocycles on G. Cocycles can be used to construct extensions of G-graded algebras via a version of the Drinfeld twist introduced by Majid.
Bazlov, Yuri, Berenstein, Arkady
core +1 more source
Neural Basis of Anxiety in Dementia With Lewy Bodies
ABSTRACT Objective The association between core clinical features and anxiety and the neural basis of anxiety in patients with dementia with Lewy bodies (DLB) are unknown. Therefore, this study examined the core clinical features associated with anxiety in DLB and identified the brain regions associated with anxiety using statistical imaging analysis ...
Naohiro Kimura +11 more
wiley +1 more source

