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Robert Carl on Postmodernism, Spectralism, Studying with Xenakis, and More youtu.be/TuVNxkV7ULA via @YouTube

Now the willful incompetents at the New York Times political desk are normalizing George Santos. It's hopeless to expect better from this crew. nytimes.com/2023/04/29/nyregio

If you become a Supreme Court Justice and your spouse embarks on a new line of work collecting more than $1,000,000 a year from law firms doing business before the Court—that’s corruption.

businessinsider.com/jane-rober

All Federal employees must file a full financial disclosure every year, including spouses and immediate family, to prevent conflicts of interest. And Chief Injustice's wife Jane Sullivan Roberts was making millions from law firms seeking to try cases in front of her husband?? This is the most corrupt #scotus in our history. Congress needs to CLEAN UP #scotus CORRUPTION. It won't do that as long as the #gop holds ANY power. Remember that in 2O24.

msn.com/en-us/news/politics/wh

Losing Tucker Carlson is a huge loss for the nation. And by "the nation," I mean Putin's Russia.

Donald Trump is on trial for rape. Here’s why that’s good news for Donald Trump.

In the Clifford algebra Cliffₙ we start with the real numbers and then throw in n anticommuting square roots of -1. For example:

Cliff₀ = ℝ, Cliff₁ = ℂ, Cliff₂ = ℍ (the quaternions), etc.

With the quaternions, once you throw in i and j with i² = j² = -1 and make them anticommute (ij = -ji) you get k = ij for free.

Each Clifford algebra has 'representations': roughly, real vector spaces where elements of the Clifford algebra act as linear operators. The most famous representations of Cliffₙ are the 'pinor' representations, which describe spin-1/2 particles in n-dimensional space along with how reflections acts on these particles. But you get other representations by taking direct sums of pinor representations.

For example, in 2d space Cliff₂ = ℍ has a representation on itself, and this is the only pinor representation in 2d space. All other representations of Cliff₂ are direct sums of this one - so its category of representations is the category of quaternionic vector spaces!

This chart shows the categories of representations of the Clifford algebras up to dimension 7. After that they repeat.

The symbol ≃ means that two algebras have equivalent categories of representations. For example, Cliff₆ is the category of 8×8 real matrices! So it's not isomorphic to ℝ, but you can show they have equivalent categories of representations.

One other thing: Cliff₃ is isomorphic to ℍ⊕ℍ: an element is a pair of quaternions. So a representation is a pair of quaternionic vector spaces - or equivalently, a quaternionic vector space that's been 'split' as the direct sum of two pieces. That's what I mean by 'split' here.

Do you see the surprising pattern in this chart?

Dear CNN: please stop referring to Ron DeSantis as "conservative." He has moved to the far right of conservative and is full-blown fascist. This is a man who will likely run for president and attempt to do to the country what he is doing in Florida. By referring to him as a conservative softens his ideals and makes him seem not that bad. But he is that bad, no, he's worse. He is a fascist. And that's what he should be called in your reporting.

cnn.com/2023/02/24/politics/ro

I ended up talking invisibility with Neil deGrasse Tyson and Negin Farsad on StarTalk! Here's my blog post about it. skullsinthestars.com/2023/04/2

I've got 700+ followers but I know at least a third of you haven't taken a chance to listen to my music... I could really use some new ears, especially if you like #industrial, #IDM and generally #weird #ElectronicMusic.

I'm in the midst of a streaming slump, so I would *really* appreciate a few new listeners!

Here's the latest album:

etherdiver.bandcamp.com/album/

@synths #music #PleaseBoost #PleaseListen

Another corrupt nondisclosure-of-blatant-conflicts Republican Supreme Court denizen: Gorsuch. No shame, no accountability. politico.com/news/2023/04/25/n

Jack Dorsey enthusiastically co-signed the deal that betrayed 200 million Twitter users and handed their accounts over to a fucking right wing egomaniacal billionaire. You’ll have to excuse me if I’m not eager to sign up for another one of this dude’s schemes.

Republicans passed a bill in Texas to end countywide-voting, which allows voters to choose polling locations that are convenient or have short lines, and a bill allowing the state to take over county election administration on flimsy pretexts.

If signed into law, the fix is in. Republicans will close locations in opposition areas to engineer impossibly long lines for democrats, but keep voting fast and easy for Republicans.

#RepublicanExtremism #TxLege #Texas

nbcnews.com/politics/politics-

I hope they force every editor at The New York Times to read this opinion piece in The New York Times showing how the mainstream media (led by The New York Times) by emphasizing isolated examples of right-wing-extremists not being loved on elite universities WHILE ignoring Republican states using states to make swaths of speech illegal, they have misinformed all of US on the true threat to free speech nytimes.com/2023/04/21/opinion

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